OII 2016 1° Livello

Qual è l’energia necessaria per modificare la temperatura di 200 g di piombo (il cui calore specifico $c$ è circa $129{\text{J kg}}^{-1}{\text{K}}^{-1}$) da $20^{\circ }\text{C}$ a $30^{\circ }\text{C}$?

• A. $0.26\text{kJ}$
• B. $0.65\text{kJ}$
• C. $7.3\text{kJ}$
• D. $0.26\text{MJ}$
• E. $7.3\text{MJ}$ Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

What is the energy required to change the temperature of 200 g of lead (whose specific heat $c$ is about $129{\text{J kg}}^{-1}{\text{K}}^{-1}$) from $20^{\circ }\text{C}$ to $30^{\circ }\text{C}$?

• A. $0.26\text{kJ}$
• B. $0.65\text{kJ}$
• C. $7.3\text{kJ}$
• D. $0.26\text{MJ}$
• E. $7.3\text{MJ}$ Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Il grafico mostra come varia nel tempo la velocità di un corpo di massa pari a $2\text{kg}$ spostato su una superficie piana.

La forza risultante applicata al corpo nel tratto DE è:

• A. nulla
• B. $1.0\text{N}$
• C. $2.0\text{N}$
• D. $4.0\text{N}$
• E. $19.6\text{N}$

velocity–time graph DE segment

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Block Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

The graph shows how the velocity of a body of mass $2\text{kg}$ moving over a flat surface varies over time.

The resulting force applied to the body in the DE-stroke is:

• **A ** nothing
• B. $1.0\text{N}$
• C. $2.0\text{N}$
• D. $4.0\text{N}$
• E. $19.6\text{N}$

The following is the list of the main types of data that are used in the database:

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Block Fonte: Testo (PDF) — p.3 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Una spira rettangolare è percorsa da una corrente continua $I^{\prime }$ che circola in senso antiorario. Accanto, nello stesso piano della spira e parallelamente a due lati del rettangolo, si trova un filo infinitamente lungo percorso da una corrente continua $I$ diretta verso l’alto, come mostrato in figura. I lati della spira paralleli al filo distano rispettivamente $a$ e $b$ dal filo, e hanno lunghezza $c$.

La forza risultante applicata alla spira è:

• A. $\frac{{\mu }_{0}I{I}^{\prime }c}{2\pi }\left(\frac{1}{a}-\frac{1}{b}\right)$ diretta verso destra
• B. $\frac{{\mu }_{0}I{I}^{\prime }c}{2\pi }\left(\frac{1}{a}+\frac{1}{b}\right)$ diretta verso sinistra
• C. $\frac{{\mu }_{0}I{I}^{\prime }}{2\pi }\left(\frac{c}{a}+\frac{c}{b}+2\frac{b-a}{c}\right)$ diretta verso sinistra
• D. $\frac{{\mu }_{0}I{I}^{\prime }}{2\pi }\cdot 2\frac{b-a}{c}$ diretta verso destra
• E. $0$

rectangular loop near infinite wire

Topic: Magnetism Metodi: Biot-Savart Law, Ampère’s Law Competenze: Physical Reasoning, Mathematical Modeling Objects: Coil, Wire Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

A rectangular spiral is traversed by a continuous current $I^{\prime }$ that is running counterclockwise. Next to it, in the same plane as the spire and parallel to both sides of the rectangle, is an infinitely long wire traveled by a continuous current $I$ directed upwards, as shown in the figure. The parallel sides of the spire are $a$ and $b$ from the wire, respectively, and have a length $c$.

The resulting force applied to the propeller shall be:

• A. $\frac{{\mu }_{0}I{I}^{\prime }c}{2\pi }\left(\frac{1}{a}-\frac{1}{b}\right)$ directed to the right
• B. $\frac{{\mu }_{0}I{I}^{\prime }c}{2\pi }\left(\frac{1}{a}+\frac{1}{b}\right)$ directed to the left
• C. $\frac{{\mu }_{0}I{I}^{\prime }}{2\pi }\left(\frac{c}{a}+\frac{c}{b}+2\frac{b-a}{c}\right)$ directed to the left
• D. $\frac{{\mu }_{0}I{I}^{\prime }}{2\pi }\cdot 2\frac{b-a}{c}$ directed to the right
• E. $0$

rectangular loop near infinite wire

Topic: Magnetism Metodi: Biot-Savart Law, Ampère’s Law Competenze: Physical Reasoning, Mathematical Modeling Objects: Coil, Wire Fonte: Testo (PDF) — p.3 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Due gusci conduttori sferici sono concentrici e isolati. La sfera più interna ha raggio $a_1$ e carica netta $q_1$; la sfera più esterna ha raggio $a_2$ e carica netta $q_2$. Si consideri un punto P posto a distanza $a$ dal centro delle due sfere, con $a_1<a<a_2$.

Ponendo a zero il potenziale a distanza infinita dalle sfere, il potenziale nel punto P è:

• A. $k\frac{q_1}{a_1}+k\frac{q_2}{a_2}$
• B. $k\frac{q_1}{a}+k\frac{q_2}{a}$
• C. $k\frac{q_1}{a}$
• D. $k\frac{q_1}{a}+k\frac{q_2}{a_2}$
• E. $k\frac{q_1}{a}+k\frac{q_2}{a}$ Topic: Electrostatics Metodi: Gauss’s Law, Electric Potential Method Competenze: Physical Reasoning Objects: Conducting Sphere Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Two spherical conducting shells are concentric and isolated. The innermost sphere has a radius $a_1$ and a net charge $q_1$; the outermost sphere has a radius $a_2$ and a net charge $q_2$. Consider a point P located $a$ from the centre of the two spheres, with $a_1<a<a_2$.

Putting the potential at infinite distance from the spheres to zero, the potential at point P is:

• A. $k\frac{q_1}{a_1}+k\frac{q_2}{a_2}$
• B. $k\frac{q_1}{a}+k\frac{q_2}{a}$
• C. $k\frac{q_1}{a}$
• D. $k\frac{q_1}{a}+k\frac{q_2}{a_2}$
• E. $k\frac{q_1}{a}+k\frac{q_2}{a}$ Topic: Electrostatics Metodi: Gauss’s Law, Electric Potential Method Competenze: Physical Reasoning Objects: Conducting Sphere Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

La figura rappresenta due impulsi di uguale lunghezza che hanno uguale ampiezza $A$ e la stessa lunghezza d’onda $\lambda$. Essi si propagano su una lunga corda elastica omogenea, entrambi verso il punto P che si trova ad uguale distanza dai due impulsi.

Nell’intervallo di tempo in cui i due impulsi si sovrappongono, il punto P della corda oscilla con ampiezza:

• A. $\lambda /2$ in orizzontale
• B. $A/2$ in verticale
• C. $A$ in verticale
• D. $2A$ in verticale
• E. nulla (non oscilla)

two wave pulses approaching point P

Topic: Oscillations & Waves Metodi: Superposition Principle Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: String Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

The figure represents two pulses of equal length having equal width $A$ and equal wavelength $\lambda$. They spread on a long, homogeneous elastic cord, both towards the point P that is at equal distance from the two impulses.

In the time interval between the two pulses overlapping, the P-point of the rope oscillates with amplitude:

• A. $\lambda /2$ in horizontal
• B. $A/2$ in vertical
• C. $A$ in vertical
• D. $2A$ in vertical
• E. nothing (not oscillating)

two wave pulses approaching point P

Topic: Oscillations & Waves Metodi: Superposition Principle Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: String Fonte: Testo (PDF) — p.3 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

In una macchina elettrostatica una cinghia di larghezza $a$, che trasporta carica con densità superficiale uniforme $\sigma$, si muove a velocità $v$. In un certo punto la carica distribuita sulla cinghia viene rimossa e convogliata in un filo conduttore determinando una corrente elettrica.

In condizioni stazionarie qual è l’intensità di corrente $I$ nel filo?

• A. $\sigma a/v$
• B. $\sigma v/a$
• C. $av\sigma$
• D. $\sigma a{v}^2$
• E. $av/\sigma$

belt conveying charge into wire

Topic: Electrostatics, Circuits Metodi: Dimensional Analysis, Physical Modeling Competenze: Physical Reasoning, Unit Conversion Objects: Wire Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

In an electrostatic machine a belt of $a$ width, carrying a charge with uniform surface density $\sigma$, moves at $v$ speed. At a certain point the charge distributed on the belt is removed and convected into a conductive wire by a current.

In stationary conditions what is the current intensity $I$ in the wire?

• A. $\sigma a/v$
• B. $\sigma v/a$
• C. $av\sigma$
• D. $\sigma a{v}^2$
• E. $av/\sigma$

The manufacturer shall ensure that the manufacturer is able to provide the necessary information and that the manufacturer is able to provide the necessary information.

Topic: Electrostatics, Circuits Metodi: Dimensional Analysis, Physical Modeling Competenze: Physical Reasoning, Unit Conversion Objects: Wire Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Un sistema costituito da un gas perfetto compie il ciclo termodinamico rappresentato in figura. La trasformazione $1\to 2$ è un’isoterma. La trasformazione $2\to 3$ è un’isocora e la trasformazione $3\to 1$ è un’adiabatica. Durante l’intero ciclo viene compiuto un lavoro $L=10\text{J}$. Durante la trasformazione $2\to 3$, l’energia interna diminuisce di $20\text{J}$. Durante la trasformazione $3\to 1$, viene fatto un lavoro di $20\text{J}$ sul sistema.

	$Q$	$L$	$\Delta U$
$1\to 2$
$2\to 3$			$-20\text{J}$
$3\to 1$		$-20\text{J}$
Ciclo		$+10\text{J}$

Quanto calore viene somministrato al sistema nella trasformazione $1\to 2$?

• A. $0$
• B. $10\text{J}$
• C. $20\text{J}$
• D. $30\text{J}$
• E. $40\text{J}$

p-V thermodynamic cycle diagram

Topic: Thermodynamics Metodi: First Law of Thermodynamics, Thermodynamic Cycle Analysis, Conservation Laws Competenze: Physical Reasoning, Mathematical Modeling Objects: Gas Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

A system made up of a perfect gas completes the thermodynamic cycle shown in the figure. The $1\to 2$ transformation is an isotherm. The transformation $2\to 3$ is an isocore and the transformation $3\to 1$ is an adiabatic. A $L=10\text{J}$ work is performed throughout the cycle. During the $2\to 3$ transformation, the internal energy decreases by $20\text{J}$. During the $3\to 1$ transformation, $20\text{J}$ work is done on the system.

	$Q$	$L$	$\Delta U$
$1\to 2$
$2\to 3$			$-20\text{J}$
$3\to 1$		$-20\text{J}$
Ciclo		$+10\text{J}$

How much heat is delivered to the system in the $1\to 2$ transformation?

• A. $0$
• B. $10\text{J}$
• C. $20\text{J}$
• D. $30\text{J}$
• E. $40\text{J}$

p-V thermodynamic cycle diagram

Topic: Thermodynamics Metodi: First Law of Thermodynamics, Thermodynamic Cycle Analysis, Conservation Laws Competenze: Physical Reasoning, Mathematical Modeling Objects: Gas Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

La figura mostra una piattaforma circolare orizzontale. Sul bordo si trova un blocco di massa $m=2.0\text{kg}$ attaccato ad un’estremità di un filo in cui è inserito un dinamometro. L’altro estremo del filo è fisso al centro della piattaforma. Il blocco ruota (con attrito trascurabile) lungo il bordo della piattaforma, ad una distanza $r=1.2\text{m}$ dal centro, con velocità di modulo costante $v=8{\text{m s}}^{-1}$.

Quale valore si legge, approssimativamente, sul dinamometro?

• A. $15\text{N}$
• B. $20\text{N}$
• C. $50\text{N}$
• D. $110\text{N}$
• E. $130\text{N}$

rotating block on circular platform with dynamometer

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning Objects: Block, String Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

The figure shows a horizontal circular platform. On the edge is a mass block $m=2.0\text{kg}$ attached to one end of a wire into which a dynamometer is inserted. The other end of the wire is fixed to the center of the platform. The wheel block (with negligible friction) along the edge of the platform, at a distance $r=1.2\text{m}$ from the centre, with a constant speed $v=8{\text{m s}}^{-1}$.

What is the value read, approximately, on the dynamometer?

• A. $15\text{N}$
• B. $20\text{N}$
• C. $50\text{N}$
• D. $110\text{N}$
• E. $130\text{N}$

rotating block on circular platform with dynamometer

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning Objects: Block, String Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

In un ciclo di Carnot vengono prelevati $1000\text{J}$ di energia da una sorgente alla temperatura di $400\text{K}$.

La quantità di calore ceduta al termostato freddo alla temperatura di $300\text{K}$ è, in modulo:

• A. $0$
• B. $250\text{J}$
• C. $500\text{J}$
• D. $750\text{J}$
• E. $1000\text{J}$ Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis, Conservation Laws Competenze: Physical Reasoning Objects: Heat Engine Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

In a Carnot cycle $1000\text{J}$ energy is drawn from a source at a temperature of $400\text{K}$.

The amount of heat transferred to the cold thermostat at $300\text{K}$ is as follows:

• A. $0$
• B. $250\text{J}$
• C. $500\text{J}$
• D. $750\text{J}$
• E. $1000\text{J}$ Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis, Conservation Laws Competenze: Physical Reasoning Objects: Heat Engine Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Due dischi identici possono ruotare senza attrito attorno ad un asse comune. All’inizio il disco inferiore ruota con velocità angolare ${\omega }_0$ ed energia cinetica $E_0$ mentre il disco superiore è fermo. Quest’ultimo viene lasciato cadere e aderisce a quello inferiore senza rimbalzare.

Qual è l’energia cinetica totale del sistema dopo l’urto?

• A. $\frac{1}{4}{E}_0$
• B. $\frac{1}{2}{E}_0$
• C. $E_0$
• D. $2E_0$
• E. $4E_0$

two coaxial discs before collision

Topic: Rotational Dynamics Metodi: Conservation of Momentum, Torque & Angular Momentum Analysis Competenze: Physical Reasoning, Mathematical Modeling Objects: Disk Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

Two identical discs can rotate without friction around a common axis. At the start the bottom disc rotates at angular speed ${\omega }_0$ and kinetic energy $E_0$ while the top disc is stationary. The latter is dropped and adheres to the lower one without bouncing back.

What is the total kinetic energy of the system after the impact?

• A. $\frac{1}{4}{E}_0$
• B. $\frac{1}{2}{E}_0$
• C. $E_0$
• D. $2E_0$
• E. $4E_0$

two coaxial discs before collision

Topic: Rotational Dynamics Metodi: Conservation of Momentum, Torque & Angular Momentum Analysis Competenze: Physical Reasoning, Mathematical Modeling Objects: Disk Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un blocco di massa $3\text{kg}$ è appoggiato su un piano orizzontale senza attrito ed è attaccato ad una molla ideale di costante elastica $30{\text{N m}}^{-1}$ avente l’altro estremo fisso. Il blocco viene spostato comprimendo la molla di $20\text{cm}$ rispetto alla posizione di equilibrio e lasciato.

Qual è la massima energia cinetica raggiunta dal blocco?

• A. $0.6\text{J}$
• B. $1.2\text{J}$
• C. $1.5\text{J}$
• D. $2.4\text{J}$
• E. $6000\text{J}$ Topic: Oscillations & Waves, Conservation of Energy Metodi: Hooke’s Law, Energy Conservation Method Competenze: Physical Reasoning Objects: Block, Spring Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

A mass block $3\text{kg}$ is supported on a non-friction horizontal plane and is attached to an ideal spring of constant elasticity $30{\text{N m}}^{-1}$ having the other end fixed. The block is moved by pressing the spring of $20\text{cm}$ against the equilibrium position and left.

What is the maximum kinetic energy achieved by the block?

• A. $0.6\text{J}$
• B. $1.2\text{J}$
• C. $1.5\text{J}$
• D. $2.4\text{J}$
• E. $6000\text{J}$ Topic: Oscillations & Waves, Conservation of Energy Metodi: Hooke’s Law, Energy Conservation Method Competenze: Physical Reasoning Objects: Block, Spring Fonte: Testo (PDF) — p.5 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Un’automobile di massa $M=1200\text{kg}$ che viaggia alla velocità costante (in modulo) $v=9.0{\text{m s}}^{-1}$ svolta ad un incrocio. L’auto segue una traiettoria orizzontale lungo una circonferenza di raggio $r=25\text{m}$ arrivando nel punto P. In questo punto una lastra di ghiaccio fa perdere completamente l’aderenza al terreno all’automobile.

Quale traiettoria segue il mezzo sul ghiaccio? (le opzioni sono rappresentate graficamente in figura)

car trajectory options after losing grip

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.5 Risposta: C · Soluzioni (PDF)

A mass $M=1200\text{kg}$ vehicle travelling at a constant speed (in the form of a module) $v=9.0{\text{m s}}^{-1}$ turned at a cross-section. The vehicle follows a horizontal trajectory along a radius circumference $r=25\text{m}$ to the point P. At this point, a sheet of ice completely loses its grip on the ground to the car.

What trajectory does the middle follow on the ice? The options are shown in the figure.

The following information is provided for in the Annex to Regulation (EU) No 1303/2013.

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.5 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Una carica è distribuita uniformemente in tutto il volume di un cilindro infinitamente lungo, non conduttore, di raggio $R$.

Quale dei seguenti grafici rappresenta meglio l’intensità $E$ del campo elettrico in funzione della distanza $r$ dall’asse del cilindro? (le opzioni sono rappresentate graficamente in figura)

five E vs r graph options for charged cylinder

Topic: Electrostatics Metodi: Gauss’s Law, Physical Modeling Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Cylinder Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

A charge is evenly distributed throughout the volume of an infinitely long, non-conductive cylinder with a radius $R$.

Which of the following graphs best represents the electric field intensity $E$ in relation to the distance $r$ from the cylinder axis? The options are shown in the figure.

The following table shows the number of units of the vehicle:

Topic: Electrostatics Metodi: Gauss’s Law, Physical Modeling Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Cylinder Fonte: Testo (PDF) — p.5 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Due blocchetti di materiale diverso, uniti tra loro, sono attraversati da un raggio di luce, come mostrato in figura.

Quanto vale l’angolo limite sulla superficie di separazione tra i due blocchetti?

• A. $60^{\circ }$
• B. $45^{\circ }$
• C. $41.8^{\circ }$
• D. $30^{\circ }$
• E. $19.5^{\circ }$

light ray through two different material blocks

Topic: Geometric Optics Metodi: Snell’s Law, Ray Tracing Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

Two blocks of different material, joined together, are traversed by a beam of light, as shown in the figure.

What is the boundary angle on the separation surface between the two blocks?

• A. $60^{\circ }$
• B. $45^{\circ }$
• C. $41.8^{\circ }$
• D. $30^{\circ }$
• E. $19.5^{\circ }$

light rays through two different material blocks

Topic: Geometric Optics Metodi: Snell’s Law, Ray Tracing Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.5 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Una palla di massa $m$ viene lanciata verticalmente verso l’alto. L’attrito con l’aria non è trascurabile e lo si assuma proporzionale alla velocità e di verso opposto ad essa.

Nel punto più alto della traiettoria l’accelerazione della palla è:

• A. $0$
• B. minore di $g$
• C. $g$
• D. maggiore di $g$
• E. inversamente proporzionale alla massa Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Ball Fonte: Testo (PDF) — p.5 Risposta: C · Soluzioni (PDF)

A ball of mass $m$ is thrown vertically upwards. The friction with air is not negligible and is assumed to be proportional to the speed and to the direction opposite to it.

At the highest point of the trajectory, the acceleration of the ball is:

• A. $0$
• B. less than $g$
• C. $g$
• D. greater than $g$
• E. inversely proportional to mass Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Ball Fonte: Testo (PDF) — p.5 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Due sorgenti emettono onde della stessa lunghezza d’onda $\lambda$, in fase tra loro. Le due sorgenti sono poste a una distanza $d$ tra di loro e distano rispettivamente $L_1$ e $L_2$ da un punto P posto a distanza $x$ dall’asse fra le due sorgenti, come mostrato in figura. La grandezza $\Delta L=L_1-L_2$ esprime dunque la differenza tra i cammini delle onde emesse dalle due sorgenti.

Per quale, fra i seguenti valori di $\Delta L$ l’interferenza è sempre costruttiva?

• A. $d\sin \theta$
• B. $(x/L_1)d$
• C. $(x/L_2)d$
• D. $\lambda /2$
• E. $2\lambda$

two coherent sources and point P geometry

Topic: Wave Optics, Oscillations & Waves Metodi: Interference & Diffraction Analysis, Superposition Principle Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.6 Risposta: E · Soluzioni (PDF)

Two sources emit waves of the same wavelength $\lambda$ in phase with each other. The two sources shall be placed at a distance $d$ from each other and respectively $L_1$ and $L_2$ from a point P located at a distance $x$ from the axis between the two sources, as shown in Figure 1. The magnitude $\Delta L=L_1-L_2$ thus expresses the difference between the paths of the waves emitted by the two sources.

Why is the interference always constructive between the following values of $\Delta L$?

• A. $d\sin \theta$
• B. $(x/L_1)d$
• C. $(x/L_2)d$
• D. $\lambda /2$
• E. $2\lambda$

two coherent sources and point P geometry

Topic: Wave Optics, Oscillations & Waves Metodi: Interference & Diffraction Analysis, Superposition Principle Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.6 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Il grafico a destra rappresenta la relazione tra la forza applicata ad una molla e la sua lunghezza.

Quanto vale la costante elastica della molla?

• A. $0.20{\text{N m}}^{-1}$
• B. $0.40{\text{N m}}^{-1}$
• C. $1.0{\text{N m}}^{-1}$
• D. $2.0{\text{N m}}^{-1}$
• E. $2.5{\text{N m}}^{-1}$

force vs length graph for spring

Topic: Oscillations & Waves, Newtonian Mechanics Metodi: Hooke’s Law, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Spring Fonte: Testo (PDF) — p.6 Risposta: E · Soluzioni (PDF)

The graph to the right represents the relationship between the force applied to a spring and its length.

How much is the spring’s elastic constant worth?

• A. $0.20{\text{N m}}^{-1}$
• B. $0.40{\text{N m}}^{-1}$
• C. $1.0{\text{N m}}^{-1}$
• D. $2.0{\text{N m}}^{-1}$
• E. $2.5{\text{N m}}^{-1}$

The following table shows the results of the calculations:

Topic: Oscillations & Waves, Newtonian Mechanics Metodi: Hooke’s Law, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Spring Fonte: Testo (PDF) — p.6 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Si considerino le seguenti situazioni:

1. Un satellite che percorre un’orbita circolare a velocità costante intorno alla Terra.
2. Un’automobile che frena.
3. Una bicicletta che si muove a velocità costante su una strada rettilinea in salita.

In quali di queste situazioni la forza risultante sul corpo è uguale a zero?

• A. Solo nella prima
• B. Solo nella seconda
• C. Solo nella terza
• D. Nella prima e nella terza
• E. In nessuna Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Satellite, Planet Fonte: Testo (PDF) — p.6 Risposta: C · Soluzioni (PDF)

The following situations shall be considered:

1. A satellite orbiting the Earth at a constant speed.
2. A car that brakes.
3. A bicycle that moves at a constant speed on a straight road up the hill.

In which of these situations is the resulting force on the body equal to zero?

• A. Only in the first
• B. Only in the second
• C. Only in the third
• D. In the first and third
• **E ** In none of the following Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Satellite, Planet Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Un’asta ST è sospesa orizzontalmente mediante due sottili fili verticali attaccati agli estremi, come mostrato in figura. Se le tensioni nei fili fissati in S e in T valgono rispettivamente $40\text{N}$ e $60\text{N}$, si può concludere che:

1. il peso dell’asta è $100\text{N}$.
2. il baricentro dell’asta è più vicino a S che a T.
3. l’asta continuerebbe a rimanere in equilibrio orizzontale anche se i fili fossero tolti e l’asta venisse appesa ad un altro filo fissato nel suo punto medio X.

• A. Tutte e tre
• B. Solo la prima e la seconda
• C. Solo la seconda e la terza
• D. Solo la prima
• E. Solo la terza Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Physical Reasoning Objects: Rod, String Fonte: Testo (PDF) — p.6 Risposta: D · Soluzioni (PDF)

An ST axle shall be suspended horizontally by two thin vertical wires attached to the ends, as shown in the figure. If the voltages in the wires fixed in S and T are $40\text{N}$ and $60\text{N}$ respectively, it may be concluded that:

1. the weight of the auction shall be $100\text{N}$.
2. the barrier of the auction is closer to S than to T.
3. the axle would continue to remain in horizontal equilibrium even if the wires were removed and the axle was hung on another thread fixed at its midpoint X.

• A. All three
• B. Only the first and second
• C. Only the second and third
• D. Only the first
• E. Only the third Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Physical Reasoning Objects: Rod, String Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

La velocità quadratica media dell’ossigeno a temperatura ambiente è $v$.

Qual è la velocità quadratica media dell’idrogeno alla stessa temperatura?

• A. $16v$
• B. $4v$
• C. $v$
• D. $v/4$
• E. $v/16$ Topic: Kinetic Theory Metodi: Kinetic Theory of Gases, Statistical Averaging Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.6 Risposta: B · Soluzioni (PDF)

The mean square velocity of oxygen at room temperature is $v$.

What is the average square velocity of hydrogen at the same temperature?

• A. $16v$
• B. $4v$
• C. $v$
• D. $v/4$
• E. $v/16$ Topic: Kinetic Theory Metodi: Kinetic Theory of Gases, Statistical Averaging Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un treno sta ripartendo da una stazione con un’accelerazione costante $a=0.80{\text{m s}}^{-2}$. Mentre si sta muovendo con velocità pari a $2.0{\text{m s}}^{-1}$ un passeggero lascia cadere una moneta verso il basso. La moneta tocca il pavimento dopo $0.50\text{s}$. Si consideri il punto H del pavimento del treno, sulla verticale del punto di rilascio.

Rispetto al punto H, il punto in cui la moneta arriva a terra si trova:

• A. $1.1\text{m}$ verso la coda del treno
• B. $1.0\text{m}$ verso la coda del treno
• C. $0.10\text{m}$ verso la coda del treno
• D. direttamente sul punto H
• E. $0.90\text{m}$ verso la testa del treno Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.7 Risposta: C · Soluzioni (PDF)

A train is leaving a station at constant speed $a=0.80{\text{m s}}^{-2}$. While moving at $2.0{\text{m s}}^{-1}$ a passenger drops a coin down. The coin touches the floor after $0.50\text{s}$. Consider the H-point of the floor of the train, on the vertical of the release point.

Compared to point H, the point where the coin lands is:

• A. $1.1\text{m}$ to the tail of the train
• B. $1.0\text{m}$ to the tail of the train
• C. $0.10\text{m}$ to the tail of the train
• D. directly at point H
• E. $0.90\text{m}$ towards the head of the train Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Nelle seguenti figure sono rappresentati i diagrammi pressione–densità $p=f(\delta )$ corrispondenti a diverse trasformazioni termodinamiche di un gas perfetto di massa totale fissata.

Quale dei grafici rappresenta una trasformazione isoterma? (le opzioni sono rappresentate graficamente in figura)

five p-density diagrams for thermodynamic transformations

Topic: Thermodynamics Metodi: Ideal Gas Law, Physical Modeling Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.7 Risposta: C · Soluzioni (PDF)

The following figures represent pressure density $p=f(\delta )$ diagrams corresponding to different thermodynamic transformations of a perfect gas of fixed total mass.

Which of the graphs represents an isothermal transformation? The options are shown in the figure.

The following table shows the results of the calculations for the calculation of the total energy consumption of the product:

Topic: Thermodynamics Metodi: Ideal Gas Law, Physical Modeling Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Quando la corda di una chitarra viene pizzicata si produce un’onda stazionaria.

Quale caratteristica di quest’onda diminuisce col passare del tempo?

• A. Velocità
• B. Lunghezza d’onda
• C. Frequenza
• D. Periodo
• E. Ampiezza Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Physical Reasoning Objects: String Fonte: Testo (PDF) — p.7 Risposta: E · Soluzioni (PDF)

When the string of a guitar is pinched, a stationary wave is produced.

What characteristic of this wave decreases over time?

• A. Speed
• B. Wavelength
• C. Frequency
• D. Period
• E. Width Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Physical Reasoning Objects: String Fonte: Testo (PDF) — p.7 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Quanto pesa approssimativamente un sacchetto contenente $100\text{€}$ tutti in monetine da un centesimo di euro?

• A. $2\text{N}$
• B. $20\text{N}$
• C. $200\text{N}$
• D. $2000\text{N}$
• E. $20000\text{N}$ Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation, Physical Modeling Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.7 Risposta: C · Soluzioni (PDF)

What is the weight of a bag containing $100\text{€}$ in euro coins of one cent?

• A. $2\text{N}$
• B. $20\text{N}$
• C. $200\text{N}$
• D. $2000\text{N}$
• E. $20000\text{N}$ Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation, Physical Modeling Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Una radiazione monocromatica di frequenza $\nu$ incide su una lastra di zinco e per effetto fotoelettrico vengono emessi degli elettroni (comunemente chiamati “fotoelettroni”). La lastra di zinco viene sostituita con un’altra lastra, fatta di un metallo che ha un minore lavoro di estrazione e viene investita da una radiazione ultravioletta di frequenza ${\nu }^{\prime }$.

Rispetto alla lastra di zinco, quali delle seguenti proposizioni sono vere per la seconda lastra?

1. Se ${\nu }^{\prime }=\nu$ l’energia cinetica massima dei fotoelettroni è maggiore.
2. Se ${\nu }^{\prime }>\nu$ la velocità massima dei fotoelettroni è maggiore.
3. L’emissione avviene anche se ${\nu }^{\prime }$ è minore di $\nu$, indipendentemente dal valore di ${\nu }^{\prime }$.

• A. Solo la prima
• B. Solo la seconda
• C. Solo la terza
• D. Solo la prima e la seconda
• E. Tutte e tre Topic: Modern-Quantum Physics Metodi: Photon Energy Relation, Physical Modeling Competenze: Physical Reasoning Objects: Photon, Electron Fonte: Testo (PDF) — p.7 Risposta: D · Soluzioni (PDF)

A monochrome radiation of $\nu$ frequency affects a zinc plate and by photoelectric effect electrons (commonly called “photoelectrons”) are emitted. The zinc plate is replaced by another plate, made of a metal with less extraction work and is infused with ultraviolet radiation of ${\nu }^{\prime }$ frequency.

Compared with zinc plate, which of the following is true for the second plate?

1. If ${\nu }^{\prime }=\nu$ the maximum kinetic energy of the photoelectrons is higher.
2. If ${\nu }^{\prime }>\nu$ the maximum speed of the photoelectrons is higher.
3. The emission shall occur even if ${\nu }^{\prime }$ is less than $\nu$, regardless of the value of ${\nu }^{\prime }$.

• **A ** Only the first
• B. Only the second
• C. Only the third
• D. Only the first and second
• E. All three Topic: Modern-Quantum Physics Metodi: Photon Energy Relation, Physical Modeling Competenze: Physical Reasoning Objects: Photon, Electron Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Tre carrellini possono muoversi in linea retta senza attrito, come mostrato in figura. Inizialmente il carrellino X, che ha massa $m$, si muove verso destra con velocità $v$ mentre Y e Z, che hanno rispettivamente massa $m$ e $4m$, sono fermi. In questa situazione avvengono degli urti che possono essere considerati elastici. La velocità finale di Z è pari a $0.4v$ verso destra.

Le velocità finali dei carrellini X e Y valgono:

• A. X: $0.6v$ a sinistra; Y: fermo
• B. X: $1.4v$ a sinistra; Y: fermo
• C. X: $v$ a sinistra; Y: $0.6v$ a sinistra
• D. X: $0.4v$ a sinistra; Y: $v$ a sinistra
• E. X: $1.6v$ a sinistra; Y: $v$ a destra

three carts X Y Z on frictionless track

Topic: Conservation of Momentum, Newtonian Mechanics Metodi: Conservation of Momentum, Conservation Laws Competenze: Mathematical Modeling, Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.8 Risposta: A · Soluzioni (PDF)

Three trucks can move in a straight line without friction, as shown in the figure. Initially the cart X, which has a mass $m$, moves to the right with speed $v$ while Y and Z, which have mass $m$ and $4m$, respectively, are stationary. In this situation, there are bumps that can be considered elastic. The final speed of Z is $0.4v$ to the right.

The final speeds of the X and Y wagons shall be:

• A. X: $0.6v$ to the left; Y: stationary
• B. X: $1.4v$ to the left; Y: stationary
• C. X: $v$ to the left; Y: $0.6v$ to the left
• D. X: $0.4v$ to the left; Y: $v$ to the left
• E. X: $1.6v$ to the left; Y: $v$ to the right

three cards X Y Z on frictionless track

Topic: Conservation of Momentum, Newtonian Mechanics Metodi: Conservation of Momentum, Conservation Laws Competenze: Mathematical Modeling, Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.8 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Da qualche parte, nell’universo, un pianeta X ha raggio doppio di quello della Terra e densità media $\rho$ uguale a quella della Terra.

Qual è il valore dell’accelerazione di gravità $g_X$ sulla superficie del pianeta X, in termini del valore terrestre $g$?

• A. $8g$
• B. $2g$
• C. $g$
• D. $g/2$
• E. $g/8$ Topic: Gravitation Metodi: Newton’s Law of Gravitation, Physical Modeling Competenze: Physical Reasoning, Mathematical Modeling Objects: Planet Fonte: Testo (PDF) — p.8 Risposta: B · Soluzioni (PDF)

Da qualche parte, nell’universo, un pianeta X ha raggio doppio di quello della Terra e densità media $\rho$ uguale a quella della Terra.

What is the value of gravitational acceleration $g_X$ on the surface of planet X, in terms of the Earth value $g$?

• A. $8g$
• B. $2g$
• C. $g$
• D. $g/2$
• E. $g/8$ Topic: Gravitation Metodi: Newton’s Law of Gravitation, Physical Modeling Competenze: Physical Reasoning, Mathematical Modeling Objects: Planet Fonte: Testo (PDF) — p.8 Risposta: B · Soluzioni (PDF)

Una barretta magnetica e un avvolgimento di filo elettrico sono disposti uno di fronte all’altra nella posizione mostrata in figura.

Fra le alternative seguenti, in quale caso si induce una forza elettromotrice nell’avvolgimento?

1. Allontanare il magnete dall’avvolgimento.
2. Avvicinare il magnete all’avvolgimento.
3. Ruotare l’avvolgimento intorno a un asse verticale.

• A. Solo nel primo
• B. Solo nel secondo
• C. Solo nel terzo
• D. Nel primo e nel secondo
• E. In tutti e tre Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Physical Reasoning Objects: Magnet, Coil, Wire Fonte: Testo (PDF) — p.8 Risposta: E · Soluzioni (PDF)

A magnetic bar and wire wrap are placed face to face in the position shown in the figure.

In which case is an electromotive force induced in the winding?

1. Remove the magnet from the wrapper.
2. Bring the magnet closer to the wrapper.
3. Rotate the winding around a vertical axis.

• A. Only in the first
• B. Only in the second
• C. Only in the third
• D. In the first and second
• E. In all three Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Physical Reasoning Objects: Magnet, Coil, Wire Fonte: Testo (PDF) — p.8 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

A quale altezza – rispetto al piano stradale – un motore con una potenza massima di $1200\text{W}$ può sollevare un carico di $200\text{N}$ in $4\text{s}$?

• A. $0.67\text{m}$
• B. $1.5\text{m}$
• C. $6.0\text{m}$
• D. $24\text{m}$
• E. $960\text{km}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Conservation of Energy, Kinematic Equations Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 Risposta: D · Soluzioni (PDF)

At what height relative to the road surface can an engine with a maximum power output of $1200\text{W}$ lift a load of $200\text{N}$ in $4\text{s}$?

• A. $0.67\text{m}$
• B. $1.5\text{m}$
• C. $6.0\text{m}$
• D. $24\text{m}$
• E. $960\text{km}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Conservation of Energy, Kinematic Equations Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Resistori identici di resistenza $R$ sono connessi tramite fili conduttori di resistenza trascurabile allo stesso generatore ideale di f.e.m. $\mathcal{E}$.

Quale dei circuiti rappresentati dissipa più potenza? (le opzioni sono rappresentate graficamente in figura)

five resistor circuit configurations to compare

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Resistor, Wire, Battery Fonte: Testo (PDF) — p.8 Risposta: D · Soluzioni (PDF)

Identical resistors $R$ are connected by means of conductive wires of negligible resistance to the same ideal f.e.m. generator. $\mathcal{E}$.

Which of the circuits represented dissipates more power? The options are shown in the figure.

The following information is provided for in Part A of Annex I to Regulation (EU) No 1303/2013.

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Resistor, Wire, Battery Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un arciere punta un bersaglio posto a $18\text{m}$ di distanza, il cui centro è esattamente alla stessa altezza della freccia. L’arciere lascia partire la freccia orizzontalmente, e questa si pianta in un punto a $40\text{cm}$ sotto il centro del bersaglio.

Supponendo di poter trascurare la resistenza dell’aria, qual è la velocità iniziale della freccia?

• A. $6.4{\text{m s}}^{-1}$
• B. $15{\text{m s}}^{-1}$
• C. $31{\text{m s}}^{-1}$
• D. $63{\text{m s}}^{-1}$
• E. $220{\text{m s}}^{-1}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Projectile Fonte: Testo (PDF) — p.9 Risposta: D · Soluzioni (PDF)

A bowman points a target placed at $18\text{m}$ distance, the center of which is exactly at the same height as the arrow. The archer leaves the arrow horizontally, and it lands at a point $40\text{cm}$ below the center of the target.

Assuming you can ignore the air resistance, what is the initial speed of the arrow?

• A. $6.4{\text{m s}}^{-1}$
• B. $15{\text{m s}}^{-1}$
• C. $31{\text{m s}}^{-1}$
• D. $63{\text{m s}}^{-1}$
• E. $220{\text{m s}}^{-1}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Projectile Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Qual è la velocità della luce in un mezzo che ha indice di rifrazione assoluto pari a $2.3$?

• A. $0.56\times 10^8{\text{m s}}^{-1}$
• B. $1.3\times 10^8{\text{m s}}^{-1}$
• C. $2.3\times 10^8{\text{m s}}^{-1}$
• D. $3.0\times 10^8{\text{m s}}^{-1}$
• E. $6.9\times 10^8{\text{m s}}^{-1}$ Topic: Geometric Optics Metodi: Snell’s Law Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.9 Risposta: B · Soluzioni (PDF)

What is the speed of light in a medium with an absolute refractive index of $2.3$?

• A. $0.56\times 10^8{\text{m s}}^{-1}$
• B. $1.3\times 10^8{\text{m s}}^{-1}$
• C. $2.3\times 10^8{\text{m s}}^{-1}$
• D. $3.0\times 10^8{\text{m s}}^{-1}$
• E. $6.9\times 10^8{\text{m s}}^{-1}$ Topic: Geometric Optics Metodi: Snell’s Law Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

L’unità di misura ${\text{V m}}^{-1}$ equivale a:

• A. ${\text{J V}}^{-1}$
• B. ${\text{J C}}^{-1}$
• C. ${\text{N A}}^{-1}{\text{m}}^{-1}$
• D. ${\text{N m}}^2{\text{C}}^{-2}$
• E. ${\text{N C}}^{-1}$ Topic: Electrostatics Metodi: Dimensional Analysis Competenze: Unit Conversion Objects: — Fonte: Testo (PDF) — p.9 Risposta: E · Soluzioni (PDF)

The unit of measurement ${\text{V m}}^{-1}$ is equal to:

• A. ${\text{J V}}^{-1}$
• B. ${\text{J C}}^{-1}$
• C. ${\text{N A}}^{-1}{\text{m}}^{-1}$
• D. ${\text{N m}}^2{\text{C}}^{-2}$
• E. ${\text{N C}}^{-1}$ Topic: Electrostatics Metodi: Dimensional Analysis Competenze: Unit Conversion Objects: — Fonte: Testo (PDF) — p.9 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Quali tra le seguenti caratteristiche sono comuni sia alle onde sonore nell’aria sia alla luce?

• A. Sono onde longitudinali
• B. Sono onde trasversali
• C. Trasferiscono energia
• D. Si propagano nel vuoto
• E. Possono essere polarizzate Topic: Oscillations & Waves, Wave Optics Metodi: Physical Modeling Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.9 Risposta: C · Soluzioni (PDF)

Which of the following characteristics are common to both air and light sound waves?

• A. They are longitudinal waves
• **B ** They are cross wave
• C. They transfer energy
• D. They spread in the vacuum
• E. They can be polarized Topic: Oscillations & Waves, Wave Optics Metodi: Physical Modeling Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Il circuito mostrato in figura è acceso da molto tempo e la batteria presenta una f.e.m. costante di $6\text{V}$.

La tensione ai capi del condensatore è:

• A. $1.2\text{V}$
• B. $2.0\text{V}$
• C. $2.4\text{V}$
• D. $4.0\text{V}$
• E. $6.0\text{V}$

RC circuit with battery at steady state

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Battery, Resistor, Capacitor Fonte: Testo (PDF) — p.9 Risposta: D · Soluzioni (PDF)

The circuit shown in the figure has been on for a long time and the battery has an f.e.m. costante di $6\text{V}$.

The voltage at the capacitor heads is:

• A. $1.2\text{V}$
• B. $2.0\text{V}$
• C. $2.4\text{V}$
• D. $4.0\text{V}$
• E. $6.0\text{V}$

RC circuit with battery at steady state

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Battery, Resistor, Capacitor Fonte: Testo (PDF) — p.9 Risposta: D · Soluzioni (PDF)

In una linea ad alta tensione, ad un dato istante, la corrente elettrica sta scorrendo verso est.

Che direzione e verso ha il campo magnetico prodotto da quella corrente, in un punto del terreno posto esattamente sotto la linea?

• A. Orizzontale verso nord.
• B. Orizzontale verso est.
• C. Orizzontale verso sud.
• D. Orizzontale verso ovest.
• E. Verticale verso il basso. Topic: Magnetism Metodi: Ampère’s Law, Biot-Savart Law Competenze: Physical Reasoning Objects: Wire Fonte: Testo (PDF) — p.9 Risposta: A · Soluzioni (PDF)

In a high-voltage line, at a given moment, the electric current is flowing east.

What direction and direction does the magnetic field produced by that current, at a point on the ground placed just below the line, take?

• A. Horizontal to the north.
• **B ** Horizontal to the east.
• **C ** Horizontal to the south.
• **D ** Horizontal to the west.
• E. Vertical downwards. Topic: Magnetism Metodi: Ampère’s Law, Biot-Savart Law Competenze: Physical Reasoning Objects: Wire Fonte: Testo (PDF) — p.9 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.

Una gru sta sollevando un blocco di pietra a velocità costante portandolo a $5\text{m}$ di altezza. Il lavoro fatto dalla gru è di $12\text{kJ}$.

Qual è la massa del blocco?

• A. $138\text{kg}$
• B. $206\text{kg}$
• C. $245\text{kg}$
• D. $312\text{kg}$
• E. $323\text{kg}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Energy Conservation Method Competenze: Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.9 Risposta: C · Soluzioni (PDF)

A crane is lifting a stone block at a constant speed, bringing it to $5\text{m}$ height. The work done by the crane is $12\text{kJ}$.

What’s the mass of the block?

• A. $138\text{kg}$
• B. $206\text{kg}$
• C. $245\text{kg}$
• D. $312\text{kg}$
• E. $323\text{kg}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Energy Conservation Method Competenze: Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Nelle figure seguenti viene rappresentata una pentola a pressione contenente dell’acqua, con o senza coperchio inserito.

In quale situazione l’acqua ha il più alto punto di ebollizione? (le opzioni sono rappresentate graficamente in figura)

pressure cooker with/without lid configurations

Topic: Thermodynamics, Fluid Mechanics Metodi: Ideal Gas Law, Physical Modeling Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Container Fonte: Testo (PDF) — p.10 Risposta: E · Soluzioni (PDF)

The following figures show a pressure vessel containing water, with or without a lid inserted.

In what situation does water boil at its highest boiling point? The options are shown in the figure.

pressure cooker with/without lid configurations

Topic: Thermodynamics, Fluid Mechanics Metodi: Ideal Gas Law, Physical Modeling Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Container Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Si consideri la reazione nucleare:

${}_{13}^{27}\text{Al}+{}_2^4\text{He}\to {}_{15}^{30}\text{P}+{}_0^1\text{n}+X$

Cosa rappresenta il simbolo $X$?

• A. Un protone
• B. Un fotone
• C. Una particella $\alpha$
• D. Un elettrone
• E. Un positrone Topic: Nuclear & Particle Physics Metodi: Conservation Laws, Physical Modeling Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.10 Risposta: B · Soluzioni (PDF)

Consider the nuclear reaction:

${}_{13}^{27}\text{Al}+{}_2^4\text{He}\to {}_{15}^{30}\text{P}+{}_0^1\text{n}+X$

What does the symbol $X$ represent?

• A proton
• B. A photon is a photon
• C. A particle $\alpha$
• D. An electron
• E. A positron Topic: Nuclear & Particle Physics Metodi: Conservation Laws, Physical Modeling Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Si hanno a disposizione un oggetto e due lenti, una convergente di focale $+10\text{cm}$ e una divergente di focale $-20\text{cm}$.

Usando una sola lente, quale disposizione, tra quelle indicate qui sotto, produce un’immagine virtuale ingrandita dell’oggetto?

• A. Si pone l’oggetto a $5\text{cm}$ dalla lente convergente.
• B. Si pone l’oggetto a $15\text{cm}$ dalla lente convergente.
• C. Si pone l’oggetto a $25\text{cm}$ dalla lente convergente.
• D. Si pone l’oggetto a $15\text{cm}$ dalla lente divergente.
• E. Si pone l’oggetto a $25\text{cm}$ dalla lente divergente. Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation, Ray Tracing Competenze: Physical Reasoning, Mathematical Modeling Objects: Lens Fonte: Testo (PDF) — p.10 Risposta: A · Soluzioni (PDF)

One object and two lenses, a convergent focal $+10\text{cm}$ and a divergent focal $-20\text{cm}$ are available.

Using a single lens, which arrangement, among those shown below, produces an enlarged virtual image of the object?

• A. The object is set to $5\text{cm}$ from the convergent lens.
• B. The object is set to $15\text{cm}$ from the convergent lens.
• C. The object is set to $25\text{cm}$ from the convergent lens.
• D. The object is set to $15\text{cm}$ from the divergent lens.
• E. The object is set to $25\text{cm}$ from the divergent lens. Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation, Ray Tracing Competenze: Physical Reasoning, Mathematical Modeling Objects: Lens Fonte: Testo (PDF) — p.10 The Commission has also proposed that the Commission should adopt a proposal for a regulation on the protection of the environment and the environment.