OII 2023 1° Livello Quiz

Q1. Due forze di $3 N$ e $4 N$ sono applicate allo stesso corpo. Quando l’angolo tra le due forze varia da $0$ a $90°$ , il modulo della risultante varia fra

A. $1 N$ e $7 N$
B. $7$ e $1$
C. $5$ e $7$
D. $7$ e $5$
E. non varia.

Topic: Newtonian Mechanics Metodi: Vector Decomposition Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q1. Two forces of $3 N$ and $4 N$ are applied to the same body. When the angle between the two forces varies from $0$ to $90°$ , the resulting modulus varies between

A. $1 N$ e $7 N$
B. $7$ e $1$
C. $5$ e $7$
D. $7$ e $5$
E. does not change.

Topic: Newtonian Mechanics Metodi: Vector Decomposition Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q2. I grafici $X$ e $Y$ mostrano pressione, volume, entropia e temperatura di una massa di gas perfetto in una trasformazione reversibile dallo stato 1 allo stato 2. Quali affermazioni sono corrette? (1) il gas si espande secondo la legge di Boyle; (2) la pressione decresce a temperatura costante; (3) il recipiente ha pareti isolanti.

A. Solo 1
B. Solo 3
C. Solo 1 e 2
D. Solo 1 e 3
E. Nessuna (trasformazione adiabatica: solo la 3 è vera).

Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis Competenze: Diagrammatic Reasoning Objects: Gas Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

The graphs $X$ and $Y$ show the pressure, volume, entropy and temperature of a perfect gas mass in a reversible transformation from state 1 to state 2. What statements are correct? (1) the gas expands according to Boyle’s law; (2) the pressure decreases at a constant temperature; (3) the container has insulating walls.

**A ** Only 1
** B ** Only 3
C. Only 1 and 2
D. Only 1 and 3
E. None (diabetic transformation: only 3 is true).

Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis Competenze: Diagrammatic Reasoning Objects: Gas Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q3. Se $s$ indica la posizione di un oggetto al tempo $t$ , quale grafico rappresenta meglio il caso in cui l’oggetto ha una velocità che aumenta in modulo nel tempo?

Cinque grafici $s$ – $t$ (A–E).

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q3. If $s$ denotes the position of an object at time $t$ , which graph best represents the case in which the object has a speed that increases in magnitude over time?

Five $s$ – $t$ graphs (A–E).

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q4. Due impulsi trasversali viaggiano con la stessa velocità $v$ in verso opposto lungo una corda; la figura è un’istantanea a $t_{0}$ . Assumendo velocità $1$ quadretto/s, quanto vale lo spostamento del punto $X$ dopo $3 s$ ?

Istantanea dei due impulsi $S$ e $T$ sulla corda, con il punto $X$ .

A. $+ 2$
B. $+ 1$
C. $0$
D. $- 1$
E. $- 2$ unità

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

Q4. Two cross-sectional pulses travel at the same speed $v$ in opposite directions along a string; the figure is an instantaneous $t_{0}$ . Assuming $1$ square/s speed, what is the value of the shift of the point $X$ after $3 s$ ?

Instantaneous of the two pulses $S$ and $T$ on the string, with the point $X$ .

A. $+ 2$
B. $+ 1$
C. $0$
D. $- 1$
E. $- 2$ units

Topic: Oscillations & Waves Metodi: Superposition Principle Competenze: Diagrammatic Reasoning Objects: String Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in milk and milk products.

Q5. Nel circuito le due pile e l’amperometro hanno resistenza interna trascurabile. L’amperometro misura

Circuito con pile da $6 V$ e $2 V$ , resistenze da $10 Ω$ e $5 Ω$ e amperometro $A$ .

A. zero
B. $0.4$
C. $0.6$
D. $0.8$
E. $1.2 A$

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Mathematical Modeling Objects: Battery, Resistor, Galvanometer Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

In the circuit the two batteries and the amperometer have negligible internal resistance. The measuring ampere

Circuit with batteries from $6 V$ and $2 V$ , resistance from $10 Ω$ and $5 Ω$ and ampere $A$ .

**A ** zero
B. $0.4$
C. $0.6$
D. $0.8$
E. $1.2 A$

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Mathematical Modeling Objects: Battery, Resistor, Galvanometer Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q6. Un circuito con il tratto superiore $X Y$ costituito da un filo rigido che può ruotare attorno all’asse orizzontale $X Y$ ; campo magnetico diretto verso destra. Chiuso l’interruttore, la parte mobile rispetto al piano della figura…

A. resta ferma
B. ruota di $90°$ uscente
C. ruota di $90°$ entrante
D. ruota di $180°$ uscente
E. ruota di $180°$ entrante

Topic: Magnetism Metodi: Lorentz Force Analysis Competenze: Physical Reasoning Objects: Wire, Switch Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

Q6. A circuit with the upper stroke $X Y$ consisting of a rigid wire that can rotate around the horizontal axis $X Y$ ; magnetic field directed to the right. I’m shutting down the switch, the moving part of the figure plane…

**A ** remains stationary
B. outgoing wheel of $90°$
C. wheel of $90°$ entering
D. outgoing wheel of $180°$
E. wheel of $180°$ inbound

Topic: Magnetism Metodi: Lorentz Force Analysis Competenze: Physical Reasoning Objects: Wire, Switch Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the common fisheries policy.

Q7. Affermazioni sulla teoria cinetica dei gas perfetti — quale è falsa?

A. Le collisioni tra molecole sono elastiche
B. La velocità delle molecole diminuisce progressivamente tra un urto e l’altro
C. Le molecole si muovono in modo casuale
D. Le molecole hanno volume trascurabile
E. $⟨ K ⟩$ è proporzionale a $T$ (in kelvin)

Topic: Kinetic Theory Metodi: — Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q7. Claims on the kinetic theory of perfect gases what is false?

A. Collisions between molecules are elastic
B. The speed of molecules decreases gradually between collisions
C. The molecules move randomly
D. Molecules have a negligible volume
E. $⟨ K ⟩$ is proportional to $T$ (in kelvins)

Topic: Kinetic Theory Metodi: — Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q8. Due satelliti identici $X$ e $Y$ in orbita circolare attorno alla Terra; il raggio dell’orbita di $X$ è il doppio di $Y$ . Quali affermazioni sono corrette? (1) $U_{g r a v}$ di $X$ maggiore; (2) $K$ di $X$ minore; (3) i periodi sono uguali.

A. 1,2,3
B. 1 e 2
C. 2 e 3
D. Solo 1
E. Solo 3

Topic: Gravitation Metodi: Kepler’s Laws Competenze: Physical Reasoning Objects: Satellite, Planet Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q8. Two identical $X$ and $Y$ satellites in circular orbit around the Earth; the radius of $X$ ‘s orbit is twice $Y$ . What statements are correct? (1) $U_{g r a v}$ of $X$ greater; (2) $K$ of $X$ less; (3) the periods are equal.

A. 1,2,3
B. 1 e 2
C. 2 e 3
**D ** Only 1
**E ** Only three

Topic: Gravitation Metodi: Kepler’s Laws Competenze: Physical Reasoning Objects: Satellite, Planet Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q9. Un’automobile parte da ferma a $t = 0$ con accelerazione data dal grafico. Qual è la velocità a $t = 3 s$ ?

Grafico $a$ – $t$ decrescente da $5 m s^{- 2}$ fino ad annullarsi a $t = 5 s$ .

A. $4.50$
B. $7.50$
C. $10.5$
D. $12.5$
E. $15.0 m s^{- 1}$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q9. A car starts from a stop at $t = 0$ with the acceleration given by the graph. What is the speed at $t = 3 s$ ?

Graph $a$$t$ decreasing from $5 m s^{- 2}$ until cancelled to $t = 5 s$ .

A. $4.50$
B. $7.50$
C. $10.5$
D. $12.5$
E. $15.0 m s^{- 1}$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in milk and milk products.

Q10. Un’astronauta pesa $500 N$ sulla Terra e $25 N$ su un asteroide $X$ . L’accelerazione di gravità su $X$ è circa

A. $0.05$
B. $0.2$
C. $0.5$
D. $1$
E. $2 m s^{- 2}$

Topic: Gravitation Metodi: Order-of-Magnitude Estimation Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

A cosmonaut weighs $500 N$ on Earth and $25 N$ on an asteroid $X$ . The acceleration of gravity over $X$ is approximately

A. $0.05$
B. $0.2$
C. $0.5$
D. $1$
E. $2 m s^{- 2}$

Topic: Gravitation Metodi: Order-of-Magnitude Estimation Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in milk and milk products.

Q11. In un esperimento sull’effetto fotoelettrico si misura il potenziale di arresto $V_{a}$ per varie lunghezze d’onda $λ$ ; il grafico riportato omette le grandezze sugli assi $X$ e $Y$ . Le grandezze corrette da riportare sugli assi sono

A. $(λ, V_{a})$
B. $(1/ V_{a}, λ)$
C. $(λ, 1/ V_{a})$
D. $(1/ λ, V_{a})$
E. $(V_{a}, 1/ λ)$ ( $e V_{a} = h c / λ - W$ , lineare in $1/ λ$ ).

grafico effetto fotoelettrico Va vs lambda

In a photoelectric effect experiment, the stop potential $V_{a}$ is measured for various wavelengths $λ$ ; the graph below omits the dimensions on the axes $X$ and $Y$ . The correct values to be reported on the axes are

A. $(λ, V_{a})$
B. $(1/ V_{a}, λ)$
C. $(λ, 1/ V_{a})$
D. $(1/ λ, V_{a})$
E. $(V_{a}, 1/ λ)$ ( $e V_{a} = h c / λ - W$ , linear in $1/ λ$ ).

The following table shows the results of the calculation of the total value of the electricity produced by the manufacturer:

Topic: Modern-Quantum Physics Metodi: Photon Energy Relation, Graph Linearization Competenze: Graph Linearization Objects: Photon Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q12. Un elettrone sta per entrare in una zona di campo magnetico uniforme $B$ entrante nel piano; velocità $v$ verso destra. Appena entrato, la forza magnetica è diretta…

A. verso l’alto
B. verso il basso
C. verso sinistra
D. verso destra
E. perpendicolare al piano, uscente

Topic: Magnetism Metodi: Lorentz Force Analysis Competenze: Physical Reasoning Objects: Electron Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

**Q12. ** An electron is about to enter a uniform magnetic field zone $B$ entering the plane; velocity $v$ to the right. As soon as you enter, the magnetic force is directed…

A. M.S.K. 1 upwards
B. downward
C. to the left
D. to the right
E. perpendicular to the plane, outgoing

Topic: Magnetism Metodi: Lorentz Force Analysis Competenze: Physical Reasoning Objects: Electron Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q13. Una persona è in piedi a $5 m$ da uno specchio piano; una palla è $3 m$ davanti all’uomo, perpendicolarmente allo specchio. Distanza tra la persona e l’immagine della palla?

A. $2$
B. $3$
C. $5$
D. $7$
E. $10 m$

Topic: Geometric Optics Metodi: Ray Tracing Competenze: Physical Reasoning Objects: Mirror, Ball Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

A person is standing at $5 m$ from a flat mirror; a ball is $3 m$ in front of the man perpendicular to the mirror. The distance between the person and the image of the ball?

A. $2$
B. $3$
C. $5$
D. $7$
E. $10 m$

Topic: Geometric Optics Metodi: Ray Tracing Competenze: Physical Reasoning Objects: Mirror, Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q14. Una pietra è lanciata verticalmente verso l’alto con $v_{0}$ dalla superficie lunare; raggiunge il culmine a quota $h$ e torna a terra dopo un tempo $t$ . Raddoppiando $v_{0}$ , il tempo di volo e l’altezza diventano

A. $t, 4 h$
B. $2 t, h$
C. $2 t, 2 h$
D. $2 t, 4 h$
E. $4 t, 2 h$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: Projectile Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q14. A stone is launched vertically upwards with $v_{0}$ from the lunar surface; it reaches its peak at $h$ and returns to the ground after a time $t$ . By doubling $v_{0}$ , the flight time and altitude become

A. $t, 4 h$
B. $2 t, h$
C. $2 t, 2 h$
D. $2 t, 4 h$
E. $4 t, 2 h$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: Projectile Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q15. Una candela davanti a uno specchio sferico concavo; due raggi uscenti dallo stesso punto incidono sullo specchio con fuoco in $F$ . Dopo la riflessione i raggi…

A. divergono, immagine virtuale
B. divergono, immagine reale
C. convergono, immagine virtuale
D. convergono, immagine reale
E. sono paralleli

Topic: Geometric Optics Metodi: Ray Tracing Competenze: Diagrammatic Reasoning Objects: Mirror Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q15. A candle in front of a concave spherical mirror; two rays emanating from the same point impact the mirror with fire in $F$ . After the reflection, the rays…

A. diverge, virtual image
B. diverge, real image
C. converge, virtual image
D. converge, real image
E. are parallel

Topic: Geometric Optics Metodi: Ray Tracing Competenze: Diagrammatic Reasoning Objects: Mirror Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q16. Un nucleo radioattivo decade in un suo isotopo a seguito di diversi processi in sequenza. Quale combinazione di particelle potrebbe essere emessa?

A. una $α$ e una $β^{-}$
B. una $α$ e due $β^{-}$
C. una $β^{-}$ e un neutrone
D. una $β^{-}$ e due neutroni
E. due $β^{-}$ e un neutrone (per tornare allo stesso $Z$ con $A$ ridotto di 4: una $α$ più due $β^{-}$ ).

Topic: Nuclear & Particle Physics Metodi: — Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A radioactive nucleus decays into its isotope as a result of several sequential processes. What combination of particles could be emitted?

A ** a $α$ and a $β^{-}$
B. one $α$ and two $β^{-}$
C. a $β^{-}$ and a neutron
D. one $β^{-}$ and two neutrons
E. two $β^{-}$ and one neutron (to return to the same $Z$ with $A$ reduced by 4: one $α$ plus two $β^{-}$ ).

Topic: Nuclear & Particle Physics Metodi: — Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q17. Un filo di platino ha resistenza $100 Ω$ alla fusione del ghiaccio e $140 Ω$ all’ebollizione dell’acqua; usato come sonda termometrica. Quando ha resistenza $116 Ω$ , la temperatura è

A. $16$
B. $24$
C. $40$
D. $60$
E. $76^{\circ} C$

Topic: Circuits Metodi: Experimental Data Analysis Competenze: Experimental Data Analysis Objects: Wire Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q17. A platinum wire has resistance $100 Ω$ to ice melting and $140 Ω$ to boiling water; used as a thermometer probe. When resistant $116 Ω$ , the temperature is

A. $16$
B. $24$
C. $40$
D. $60$
E. $76^{\circ} C$

Topic: Circuits Metodi: Experimental Data Analysis Competenze: Experimental Data Analysis Objects: Wire Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in milk and milk products.

Q18. Dalla cima di una scogliera viene lanciata orizzontalmente una sferetta a $15 m s^{- 1}$ ; tocca il mare dopo circa $2 s$ . Altezza approssimativa della scogliera (attrito trascurabile)?

A. $20$
B. $30$
C. $35$
D. $40$
E. $80 m$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: Projectile, Ball Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

From the top of a cliff a sphere at $15 m s^{- 1}$ is thrown horizontally; it touches the sea after about $2 s$ . Approximate height of the cliff (negligible friction)?

A. $20$
B. $30$
C. $35$
D. $40$
E. $80 m$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: Projectile, Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the common fisheries policy.

Q19. Il grafico rappresenta una trasformazione in cui $1 kg$ di sostanza passa da gas a $160^{\circ} C$ a solido a $20^{\circ} C$ , con calore ceduto costante nel tempo. Il punto di fusione è a

A. $0$
B. $20$
C. $70$
D. $100$
E. $120^{\circ} C$

Topic: Thermodynamics Metodi: — Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

The graph represents a transformation in which $1 kg$ of substance passes from gas to $160^{\circ} C$ to solid to $20^{\circ} C$ , with heat constantly being given over time. The melting point is a

A. $0$
B. $20$
C. $70$
D. $100$
E. $120^{\circ} C$

Topic: Thermodynamics Metodi: — Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in milk and milk products.

Q20. Un blocco di massa $m = 3 kg$ è tenuto fermo su un piano liscio inclinato di $30°$ , poi rilasciato. Due secondi dopo, la componente del peso parallela al pendio ( $F$ ) e la distanza percorsa ( $d$ ) valgono circa [tabella di coppie $(F, d)$ ]

A. $(15; 10)$
B. $(15; 5.0)$
C. $(26; 2.5)$
D. $(26; 5.0)$
E. $(30; 5.0)$

A block of mass $m = 3 kg$ is held firmly on a smooth slanted plane of $30°$ , then released. Two seconds later, the slope-parallel weight component ( $F$ ) and the distance travelled ( $d$ ) are approximately [pair table $(F, d)$ ]

A. $(15; 10)$
B. $(15; 5.0)$
C. $(26; 2.5)$
D. $(26; 5.0)$
E. $(30; 5.0)$

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Mathematical Modeling Objects: Block, Inclined Plane Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the common fisheries policy.

Q21. Quale circuito (con $A$ amperometro) può illustrare la carica e scarica di un condensatore in corrente continua (condensatore inizialmente scarico)?

Cinque schemi di circuito (A–E) con pila, amperometro $A$ e condensatore.

Topic: Circuits Metodi: — Competenze: Diagrammatic Reasoning Objects: Capacitor, Battery, Galvanometer Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

What circuit (with $A$ ampere) can illustrate the charge and discharge of a DC capacitor (initially discharged capacitor)?

Five circuit patterns (AE) with battery, ampere $A$ and capacitor.

Topic: Circuits Metodi: — Competenze: Diagrammatic Reasoning Objects: Capacitor, Battery, Galvanometer Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in milk and milk products.

Q22. Cinque vagoni identici fermi su un binario; in caso di urto restano agganciati. Un sesto vagone identico è lanciato a velocità $v$ . Velocità dei sei vagoni dopo l’aggancio (attrito trascurabile)?

A. $v$
B. $5 v /6$
C. $v / 6$
D. $v /6$
E. $v /5$

Topic: Conservation of Momentum Metodi: Conservation of Momentum Competenze: Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q22.** Five identical wagons are stationary on a track; in the event of a collision they are hooked. A sixth identical carriage is launched at $v$ speed. Speed of the six wagons after attachment (negligible friction)?

A. $v$
B. $5 v /6$
C. $v / 6$
D. $v /6$
E. $v /5$

Topic: Conservation of Momentum Metodi: Conservation of Momentum Competenze: Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q23. Una fionda con due corde di gomma (legge di Hooke) lancia una pietra a velocità $v$ quando ciascuna corda è allungata di $x$ . Se ciascuna corda è allungata di $2 x$ (tutta l’energia trasferita), la velocità è

A. $v /2$
B. $v$
C. $2 v$
D. $2 v$
E. $4 v$

Q23. A spindle with two rubber strings (Hooke’s law) throws a stone at a speed $v$ when each string is stretched by $x$ . If each string is extended by $2 x$ (all energy transferred), the speed is

A. $v /2$
B. $v$
C. $2 v$
D. $2 v$
E. $4 v$

Topic: Conservation of Energy Metodi: Hooke’s Law, Energy Conservation Method Competenze: Mathematical Modeling Objects: Spring, Projectile Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q24. Qual è l’ordine di grandezza del numero di elettroni che si assumono bevendo un bicchiere d’acqua?

A. $1 0^{30}$
B. $1 0^{26}$
C. $1 0^{22}$
D. $1 0^{18}$
E. nessun elettrone perché l’acqua è neutra

Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation Competenze: Estimation & Approximation Objects: Electron Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

What is the order of magnitude of the number of electrons taken up by drinking a glass of water?

A. $1 0^{30}$
B. $1 0^{26}$
C. $1 0^{22}$
D. $1 0^{18}$
E. no electrons because the water is neutral

Q25. Si dispone di una lente convergente $+ 10 cm$ e una divergente $- 20 cm$ . Prove: I) oggetto a $25 cm$ dalla divergente; II) a $15 cm$ dalla divergente; III) a $25 cm$ dalla convergente; IV) a $15 cm$ dalla convergente; V) a $5 cm$ dalla convergente. In quante prove si ottiene un’immagine ridotta?

A. 1
B. 2
C. 3
D. 4
E. 5

Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation Competenze: Mathematical Modeling Objects: Lens Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q25. It has a convergent $+ 10 cm$ lens and a divergent $- 20 cm$ lens. The test results are: (i) the object $25 cm$ by the divergent; (ii) the divergent $15 cm$ ; (iii) the convergent $25 cm$ ; (iv) the convergent $15 cm$ ; (v) the convergent $5 cm$ . How many tests can you use to get a shortened image?

A. 1
B. 2
C. 3
D. 4
E. 5

Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation Competenze: Mathematical Modeling Objects: Lens Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in milk and milk products.

Q26. Una pattinatrice ruota con braccia tese (attriti trascurabili). Portando le braccia al corpo, quali quantità restano costanti? (1) momento d’inerzia; (2) energia cinetica; (3) momento angolare.

A. 1 e 2
B. 2 e 3
C. Solo 1
D. Solo 2
E. Solo 3

Topic: Rotational Dynamics Metodi: Torque & Angular Momentum Analysis Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

Q26.** A wheeled skater with outstretched arms (negligible friction). Bringing your arms to the body, what quantities remain constant? The first is the moment of inertia, the second is kinetic energy, the third is angular momentum.

A. 1 e 2
B. 2 e 3
**C ** Only 1
** D ** Only 2
**E ** Only three

Topic: Rotational Dynamics Metodi: Torque & Angular Momentum Analysis Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q27. Un protone $p$ si sposta da $T$ a $S$ in prossimità di una sferetta carica negativamente. Se per lo spostamento occorre un lavoro di $6.4 \times 1 0^{- 19} J$ , la d.d.p. tra i due punti è

A. $0$
B. $4.0 \times 1 0^{- 19}$
C. $6.4 \times 1 0^{- 19}$
D. $4.0$
E. $6.4 V$ ( $V = W / q = 4.0 V$ ).

Q27. A proton $p$ moves from $T$ to $S$ near a negatively charged sphere. If the shift requires $6.4 \times 1 0^{- 19} J$ work, the d.d.p. Between the two points is

A. $0$
B. $4.0 \times 1 0^{- 19}$
C. $6.4 \times 1 0^{- 19}$
D. $4.0$
E. $6.4 V$ ( $V = W / q = 4.0 V$ ).

Topic: Electrostatics Metodi: Electric Potential Method Competenze: Mathematical Modeling Objects: Conducting Sphere, Point Charge Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q28. Due blocchi metallici di uguale sezione, lunghi $10 cm$ e $20 cm$ , conducibilità $200$ e $100 W m^{- 1} K^{- 1}$ , attaccati. Estremi liberi a $T_{1} = 50^{\circ} C$ e $T_{2} = 20^{\circ} C$ . In regime stazionario la temperatura della giunzione è

A. $26$
B. $30$
C. $35$
D. $40$
E. $44^{\circ} C$

Topic: Thermodynamics Metodi: — Competenze: Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

Q28. Two metal blocks of equal length, $10 cm$ and $20 cm$ , conductivity $200$ and $100 W m^{- 1} K^{- 1}$ , attached. Free extremes at $T_{1} = 50^{\circ} C$ and $T_{2} = 20^{\circ} C$ . In stationary mode the temperature of the junction is

A. $26$
B. $30$
C. $35$
D. $40$
E. $44^{\circ} C$

Topic: Thermodynamics Metodi: — Competenze: Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q29. Un’automobile a $15 m s^{- 1}$ accelera per $5 s$ fino a $25 m s^{- 1}$ . Spazio percorso (accelerazione costante)?

A. $50$
B. $75$
C. $100$
D. $125$
E. $200 m$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q29. Un’automobile a $15 m s^{- 1}$ accelera per $5 s$ fino a $25 m s^{- 1}$ . Space travel (constantly accelerating)?

A. $50$
B. $75$
C. $100$
D. $125$
E. $200 m$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q30. Due fenditure parallele molto vicine illuminate da luce verde monocromatica (incidenza normale); su uno schermo si osservano frange d’interferenza. La distanza tra le frange può essere aumentata…

A. diminuendo la distanza lastra–schermo
B. aumentando la distanza sorgente–lastra
C. aumentando la distanza tra le fenditure
D. aumentando la larghezza delle fenditure
E. sostituendo la sorgente con luce rossa

Topic: Wave Optics Metodi: Interference & Diffraction Analysis Competenze: Physical Reasoning Objects: Slit, Screen Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

Q30. Two very close parallel slits illuminated by monochrome green light (normal incidence); on one screen there are interference fringes. The distance between the franges can be increased…

A. decreasing the screen distance
B. increasing the source distance
C. increasing the gap between the cracks
D. increasing the width of the cracks
E. by replacing the source with a red light

Topic: Wave Optics Metodi: Interference & Diffraction Analysis Competenze: Physical Reasoning Objects: Slit, Screen Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q31. Un gas è riscaldato a pressione costante fino a triplicare il volume, poi compresso adiabaticamente fino al volume iniziale, infine raffreddato a volume costante fino alla temperatura originale. Quale grafico rappresenta meglio le trasformazioni?

Cinque diagrammi $p$ – $V$ (A–E).

Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis Competenze: Diagrammatic Reasoning Objects: Gas Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q31. A gas is heated at constant pressure until the volume is tripled, then adiabatically compressed to the initial volume, and finally cooled to a constant volume to the original temperature. Which graph best represents the transformations?

Cinque diagrammi $p$ – $V$ (A–E).

Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis Competenze: Diagrammatic Reasoning Objects: Gas Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q32. Due piccole sfere conduttrici identiche a grande distanza, cariche $q_{1} = - 2 μ C$ e $q_{2} = 4 μ C$ ; la forza tra esse ha modulo $F = 1 N$ . Vengono collegate da un filo conduttore (senza spostarle) e poi il filo è rimosso. Modulo della forza al termine?

A. $0$
B. $0.125$
C. $0.250$
D. $1$
E. $1.125 N$ (carica finale $1 μ C$ ciascuna).

Topic: Electrostatics Metodi: Coulomb’s Law Competenze: Mathematical Modeling Objects: Conducting Sphere, Wire Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q32. Two small, identical, long-distance conducting spheres, with loads of $q_{1} = - 2 μ C$ and $q_{2} = 4 μ C$ ; the force between them is $F = 1 N$ . They are connected by a conductive wire (without moving them) and then the wire is removed. Force module at the finish?

A. $0$
B. $0.125$
C. $0.250$
D. $1$
**E ** $1.125 N$ (final load $1 μ C$ each).

Topic: Electrostatics Metodi: Coulomb’s Law Competenze: Mathematical Modeling Objects: Conducting Sphere, Wire Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q33. Nel piano $O x y$ con assi $O x, O y$ ortogonali, quale corrente in un conduttore rettilineo produce nel punto $O$ un campo magnetico orientato nel verso positivo dell’asse $x$ ?

Piano $O x y$ con il punto $P$ sull’asse $y$ e il punto $Q$ sull’asse $x$ .

A. per $Q$ , entrante
B. per $Q$ , uscente
C. per $P$ , parallela a $O x$
D. per $P$ , entrante
E. per $P$ , uscente

Topic: Magnetism Metodi: Symmetry Argument Competenze: Physical Reasoning Objects: Wire Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

In the plane $O x y$ with orthogonal $O x, O y$ axes, which current in a straight conductor produces a magnetic field oriented towards the positive side of the $x$ axis at the point $O$ ?

Flat $O x y$ with the point $P$ on the $y$ axis and the point $Q$ on the $x$ axis.

A. for $Q$ , incoming
B. for $Q$ , outgoing
C. for $P$ , parallel to $O x$
D. for $P$ , incoming
E. for $P$ , outgoing

Topic: Magnetism Metodi: Symmetry Argument Competenze: Physical Reasoning Objects: Wire Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q34. Un’automobile di $800 kg$ a $30 m s^{- 1}$ frena e si arresta in $50 m$ sotto una forza costante. Intensità della forza frenante?

A. $9$
B. $240$
C. $7200$
D. $14400$
E. $28800 N$

Topic: Newtonian Mechanics Metodi: Conservation of Energy Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q34. Un’automobile di $800 kg$ a $30 m s^{- 1}$ frena e si arresta in $50 m$ sotto una forza costante. The intensity of the braking force?

A. $9$
B. $240$
C. $7200$
D. $14400$
E. $28800 N$

Topic: Newtonian Mechanics Metodi: Conservation of Energy Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q35. Un liquido scorre in regime stazionario in un condotto con un restringimento. Quale grafico rappresenta la portata in massa in funzione della posizione lungo il condotto? (portata in massa costante).

Cinque grafici portata–posizione (A–E).

grafici X e Y gas perfetto

grafico raffreddamento cambio di fase

due blocchi metallici conduttori termici

cinque diagrammi p-V ciclo gas perfetto

grafici portata in massa condotto restringimento

Topic: Fluid Mechanics Metodi: Continuity Equation Competenze: Diagrammatic Reasoning Objects: Tube Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q35. A liquid flows steadily through a narrowing duct. What graph shows the mass flow rate as a function of the position along the conduit? (constantly carried).

The following table shows the results of the calculation of the total number of samples taken:

perfect gas X and Y graphs

The temperature of the air is the temperature of the air.

The manufacturer shall provide the manufacturer with the following information:

The following table shows the following:

graphs carried by mass by condensation

Topic: Fluid Mechanics Metodi: Continuity Equation Competenze: Diagrammatic Reasoning Objects: Tube Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in electricity and gas.

Q36. Un altoparlante a un’estremità di un tubo rettilineo chiuso all’altra estremità, collegato a un generatore di frequenza variabile; la minima frequenza di risonanza è $300 Hz$ . Tra $600, 1000, 1500, 2100, 2400 Hz$ , quante daranno risonanza?

A. 1
B. 2
C. 3
D. 4
E. 5 (tubo chiuso: solo armoniche dispari $900, 1500, 2100 Hz$ ).

due impulsi trasversali su corda

persona e specchio piano con palla

specchio sferico concavo candela raggi

tubo chiuso con altoparlante

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Physical Reasoning Objects: Tube Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q36. A speaker at one end of a straight tube closed at the other end, connected to a variable frequency generator; the minimum resonance frequency is $300 Hz$ . Tra $600, 1000, 1500, 2100, 2400 Hz$ , quante daranno risonanza?

A. 1
B. 2
C. 3
D. 4
E. 5 (closed tube: only odd harmonics $900, 1500, 2100 Hz$ ).

two cross-sectional pulses on the rope

person and flat mirror with ball

spherical mirror with a candle beam *

*closed tube with speaker *

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Physical Reasoning Objects: Tube Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q37. Un corpo di $2 kg$ si muove verso Est a $40 m s^{- 1}$ . Applicando per $6 s$ una forza costante di $10 N$ verso Nord, la velocità finale è

A. $30$
B. $45$
C. $50$
D. $55$
E. $70 m s^{- 1}$

**Q37. ** A body of $2 kg$ moves eastward at $40 m s^{- 1}$ . Applying for $6 s$ a constant force of $10 N$ to the north, the final speed is

A. $30$
B. $45$
C. $50$
D. $55$
E. $70 m s^{- 1}$

Topic: Newtonian Mechanics Metodi: Impulse-Momentum Theorem, Vector Decomposition Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Q38. Due scatole $m_{1} = 5 kg$ , $m_{2} = 7 kg$ in quiete su superficie liscia, collegate da un filo; una cordicella attaccata a $m_{2}$ è tirata con forza $F$ . Se il filo resiste fino a $15 N$ , qual è il valore massimo di $F$ per mantenere i blocchi collegati?

A. $15$
B. $26$
C. $30$
D. $36$
E. $72 N$

cinque grafici s-t velocità crescente

grafico accelerazione-tempo decrescente

piano inclinato blocco 30 gradi

due scatole collegate da filo su piano

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Mathematical Modeling Objects: Block, String Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q38. Two boxes $m_{1} = 5 kg$ , $m_{2} = 7 kg$ standing on a smooth surface, connected by a wire; a rope attached to $m_{2}$ is pulled with force $F$ . If the wire resists $15 N$ , what is the maximum value of $F$ to keep the blocks connected?

A. $15$
B. $26$
C. $30$
D. $36$
E. $72 N$

five graphs s-t increasing speed

The following table shows the acceleration-time decreasing chart:

slanted plane block 30 degrees

two boxes connected by wire on a flat surface

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Mathematical Modeling Objects: Block, String Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q39. Esprimere la dimensione fisica del campo di induzione magnetica $B$ in termini di lunghezza (L), massa (M), tempo (T) e intensità di corrente (I).

A. $M T^{- 1} I^{- 2}$
B. $M T^{- 2} I^{- 1}$
C. $M T I^{- 1}$
D. $M T^{- 1} I$
E. $M T^{- 2} I^{- 2}$

Topic: Electromagnetism Metodi: Dimensional Analysis Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q39. Express the physical size of the magnetic induction field $B$ in terms of length (L), mass (M), time (T) and current intensity (I).

A. $M T^{- 1} I^{- 2}$
B. $M T^{- 2} I^{- 1}$
C. $M T I^{- 1}$
D. $M T^{- 1} I$
E. $M T^{- 2} I^{- 2}$

Topic: Electromagnetism Metodi: Dimensional Analysis Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organization of the market in electricity and gas.

Q40. Un corpo carico positivamente è in equilibrio in un campo elettrico verticale uniforme sotto l’azione del peso e del campo. Viene spostato di poco verso il basso, fermato e lasciato libero. Cosa fa dopo il rilascio?

A. torna nella posizione iniziale e si ferma
B. compie un moto armonico intorno alla posizione iniziale
C. cade con accelerazione costante
D. si muove verso l’alto con accelerazione costante
E. resta fermo (campo uniforme: forza risultante nulla ovunque).

circuito con pile e resistenze

circuito filo XY ruotante in campo B

elettrone entra in campo magnetico B

cinque circuiti con amperometro condensatore

protone p da T a S presso sferetta carica

piano Oxy con punti P e Q

Topic: Electrostatics Metodi: — Competenze: Physical Reasoning Objects: Point Charge Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

A positively charged body is balanced in a uniform vertical electric field under the action of weight and field. It’s moved slightly downward, stopped and left free. What’s he doing after he’s released?

A. returns to the starting position and stops
B. performs a harmonic motion around the starting position
C. falls at a constant rate of acceleration
D. moves upwards at constant acceleration
E. remains stationary (uniform field: resulting force zero everywhere).

battery and resistor circuit*

*Wire XY rotating circuit in field B *

The electron enters the magnetic field B

*five circuits with capacitor ampere *

proton p from T to S at low charge sphere

*Oxy plane with P and Q points *

Topic: Electrostatics Metodi: — Competenze: Physical Reasoning Objects: Point Charge Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

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