OII 2004 1° Livello Quiz

Q1. Un recipiente di polistirolo con coperchio contiene $0.30\text{kg}$ di acqua a $100\text{°C}$. Versando $0.10\text{kg}$ di acqua a $20\text{°C}$, la temperatura finale sarà… A) $20\text{°C}$; B) $40\text{°C}$; C) $60\text{°C}$; D) $80\text{°C}$; E) $100\text{°C}$.

Topic: Thermodynamics Metodi: Conservation of Energy Competenze: Physical Reasoning Objects: Container Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

A polyester container with a lid contains $0.30\text{kg}$ of water at $100\text{°C}$. If $0.10\text{kg}$ of water is poured to $20\text{°C}$, the final temperature will be… A) $20\text{°C}$; B) $40\text{°C}$; C) $60\text{°C}$; D) $80\text{°C}$; E) $100\text{°C}$.

Topic: Thermodynamics Metodi: Conservation of Energy Competenze: Physical Reasoning Objects: Container Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the European Union’s Strategy for the Environment, Food and Rural Affairs and the Environment.

Q2. Un indiano tende l’arco con una forza media di $20\text{N}$, spostando indietro la corda di $60\text{cm}$. Quando la freccia lascia l’arco la sua energia cinetica è, al massimo… A) $3.6\text{J}$; B) $6.0\text{J}$; C) $12\text{J}$; D) $24\text{J}$; E) $36\text{J}$.

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: Physical Reasoning Objects: String, Projectile Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q2. An Indian tends the bow with an average force of $20\text{N}$, moving the rope backwards of $60\text{cm}$. When the arrow leaves the bow, its kinetic energy is at most… A) $3.6\text{J}$; B) $6.0\text{J}$; C) $12\text{J}$; D) $24\text{J}$; E) $36\text{J}$.

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: Physical Reasoning Objects: String, Projectile 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.

Q3. Un recipiente contiene $96\text{g}$ di una sostanza radioattiva. Dopo $12\text{minuti}$ ne rimangono $6\text{g}$ non decaduti. Qual è il tempo di dimezzamento? A) $2\text{min}$; B) $3\text{min}$; C) $4\text{min}$; D) $6\text{min}$; E) $8\text{min}$.

Topic: Nuclear & Particle Physics Metodi: Radioactive Decay Law Competenze: Mathematical Modeling Objects: Container Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

Q3. A container contains $96\text{g}$ of a radioactive substance. After $12\text{minuti}$ $6\text{g}$ remains intact. What’s the half-time? A) $2\text{min}$; B) $3\text{min}$; C) $4\text{min}$; D) $6\text{min}$; E) $8\text{min}$.

Topic: Nuclear & Particle Physics Metodi: Radioactive Decay Law Competenze: Mathematical Modeling Objects: Container Fonte: Testo (PDF) — p.4 The Commission has also adopted a number of proposals for the implementation of the programme.

Q4. Un generatore di onde a $4\text{m}$ da un muro riflettente produce onde stazionarie in un nastro (figura: un solo ventre tra generatore e muro, cioè mezza lunghezza d’onda su $4\text{m}$). Se la velocità dell’onda è $10{\text{m s}}^{-1}$, la frequenza è… A) $0.4\text{Hz}$; B) $4\text{Hz}$; C) $5\text{Hz}$; D) $10\text{Hz}$; E) $40\text{Hz}$.

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

Q4. A $4\text{m}$ wave generator from a reflecting wall produces stationary waves in a tape (figure: a single vent between the generator and the wall, i.e. half wavelength on $4\text{m}$). If the wave velocity is $10{\text{m s}}^{-1}$, the frequency is… A) $0.4\text{Hz}$; B) $4\text{Hz}$; C) $5\text{Hz}$; D) $10\text{Hz}$; E) $40\text{Hz}$.

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Physical 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.

Q5. Uno studente a $4.5\text{m}$ di altezza lancia orizzontalmente una palla di neve verso una ciminiera distante $15\text{m}$. La palla la colpisce $0.65\text{s}$ dopo. Trascurando la resistenza dell’aria, a quale distanza dal terreno la palla colpisce la ciminiera? A) $0\text{m}$; B) $0.4\text{m}$; C) $1.2\text{m}$; D) $2.4\text{m}$; E) $4.5\text{m}$.

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

Q5. Uno studente a $4.5\text{m}$ di altezza lancia orizzontalmente una palla di neve verso una ciminiera distante $15\text{m}$. La palla la colpisce $0.65\text{s}$ dopo. Ignoring the air resistance, how far from the ground does the ball hit the chimney? A) $0\text{m}$; B) $0.4\text{m}$; C) $1.2\text{m}$; D) $2.4\text{m}$; E) $4.5\text{m}$.

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

Q6. Uno studente alto $2\text{m}$, in piedi, riesce a vedere interamente il proprio corpo in uno specchio verticale. L’altezza minima dello specchio è… A) $0.5\text{m}$; B) $1.0\text{m}$; C) $1.5\text{m}$; D) $2.0\text{m}$; E) $2.5\text{m}$.

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

Q6. Uno studente alto $2\text{m}$, in piedi, riesce a vedere interamente il proprio corpo in uno specchio verticale. The minimum height of the mirror is… A) $0.5\text{m}$; B) $1.0\text{m}$; C) $1.5\text{m}$; D) $2.0\text{m}$; E) $2.5\text{m}$.

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

Q7. Tre sfere metalliche identiche su sostegni isolanti: inizialmente A ha carica $q$, B e C scariche. A viene messa a contatto con B e allontanata; poi A è messa a contatto con C e allontanata. La carica finale su A è… A) $q$; B) $q/2$; C) $q/3$; D) $q/4$; E) zero.

studente su collinetta lancia palla verso ciminiera

Topic: Electrostatics Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Conducting Sphere Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Q7. Three identical metal balls on insulating supports: initially A has a charge $q$, B and C discharges. A is put in contact with B and removed; then A is put in contact with C and removed. The final charge on A is… A) $q$; B) $q/2$; C) $q/3$; D) $q/4$; E) zero.

studente su collinetta lancia palla verso ciminiera

Topic: Electrostatics Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Conducting Sphere Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Q8. Un carrello di massa $M$ su rotaia senza attrito è lasciato da fermo dalla cima di una sommità di altezza $h_1$. Quanto vale la sua energia cinetica quando raggiunge la successiva sommità di altezza $h_2$? A) $Mg{h}_1$; B) $Mg(h_1-h_2)$; C) $Mg(h_2-h_3)$; D) $Mg(h_1+h_2)/2$; E) $0$.

Quesito 8 — carrello su rotaia con salite h1 h2 h3

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q8. A mass cart $M$ on a non-friction rail shall be left standing from the top of a height summit $h_1$. What is its kinetic energy when it reaches the next height peak $h_2$? A) $Mg{h}_1$; B) $Mg(h_1-h_2)$; C) $Mg(h_2-h_3)$; D) $Mg(h_1+h_2)/2$; E) $0$.

Question 8 Carriage on railway with h1 h2 h3

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q9. Due solenoidi A e B, vuoti, collegati da un filo; sopra ciascuno è sospesa una barra magnetizzata (1 e 2). Se il polo nord del magnete 1 è lasciato cadere verso il solenoide A, simultaneamente il polo sud del magnete 2 sarà… A) attratto verso B da forza magnetica; B) respinto da B da forza magnetica; C) attratto verso B da forza elettrica; D) respinto da B da forza elettrica; E) non influenzato da B.

Quesito 9 — due solenoidi collegati con magneti sospesi

Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Physical Reasoning Objects: Solenoid, Magnet, Wire Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Q9. Two solenoids A and B, empty, connected by a wire; a magnetised bar (1 and 2) is suspended above each. If the north pole of magnet 1 is dropped towards solenoid A, simultaneously the south pole of magnet 2 will be… (a) attracted to B by magnetic force; (b) repelled by B by magnetic force; (c) attracted to B by electric force; (d) repelled by B by electric force; (e) unaffected by B.

Question 9 Two solenoids connected by suspended magnets

Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Physical Reasoning Objects: Solenoid, Magnet, Wire Fonte: Testo (PDF) — p.4 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the protection of the environment.

Q10. Un oggetto alto $2\text{cm}$ è posto a $30\text{cm}$ da una lente convergente; la lente forma un’immagine reale alta $4\text{cm}$. La lunghezza focale è… A) $5\text{cm}$; B) $10\text{cm}$; C) $20\text{cm}$; D) $40\text{cm}$; E) $810\text{cm}$.

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

Q10. A high $2\text{cm}$ object is placed at $30\text{cm}$ by a converging lens; the lens forms a high real image $4\text{cm}$. The focal length is… A) $5\text{cm}$; B) $10\text{cm}$; C) $20\text{cm}$; D) $40\text{cm}$; E) $810\text{cm}$.

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.

Q11. Un ragazzo sostituisce una lampadina da $60\text{W}$ con una da $100\text{W}$ (stessa tensione di rete). Rispetto alla da $60\text{W}$, quella da $100\text{W}$ ha… A) resistenza minore e corrente maggiore; B) resistenza minore e corrente minore; C) resistenza uguale e corrente maggiore; D) resistenza maggiore e corrente maggiore; E) resistenza maggiore e corrente minore.

Topic: Circuits Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Resistor Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Q11. Un ragazzo sostituisce una lampadina da $60\text{W}$ con una da $100\text{W}$ (stessa tensione di rete). Rispetto alla da $60\text{W}$, quella da $100\text{W}$ ha… (a) lower resistance and higher current; (b) lower resistance and lower current; (c) equal resistance and higher current; (d) higher resistance and higher current; (e) higher resistance and lower current.

Topic: Circuits Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Resistor Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Q12. La figura mostra l’orbita ellittica di una cometa intorno al Sole (punti A, B, C, D). Il modulo dell’accelerazione centripeta è massimo nel punto… A) A; B) B (perielio); C) C; D) D; E) ovunque uguale.

Quesito 12 — orbita ellittica cometa intorno al Sole

Topic: Gravitation Metodi: Newton’s Law of Gravitation, Kepler’s Laws Competenze: Physical Reasoning Objects: Planet, Star Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

Q12. The figure shows the elliptical orbit of a comet around the Sun (points A, B, C, D). The centripede acceleration module is maximum at the point… (a) A; (b) B (peril); (c) C; (d) D; (e) everywhere equal.

Question 12 Elliptical orbit of the comet around the Sun

Topic: Gravitation Metodi: Newton’s Law of Gravitation, Kepler’s Laws Competenze: Physical Reasoning Objects: Planet, Star Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the protection of the environment.

Q13. Quale combinazione di tre forze complanari su un punto materiale non può produrre equilibrio? A) $1,3,4\text{N}$; B) $1,3,5\text{N}$; C) $2,2,2\text{N}$; D) $3,4,5\text{N}$; E) $4,4,5\text{N}$.

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

Q13. What combination of three complanar forces on a material point cannot produce balance? A) $1,3,4\text{N}$; B) $1,3,5\text{N}$; C) $2,2,2\text{N}$; D) $3,4,5\text{N}$; E) $4,4,5\text{N}$.

Topic: Newtonian Mechanics Metodi: Vector Decomposition Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q14. Un carrello di $2\text{kg}$ si muove a velocità costante su una pista circolare di raggio $3\text{m}$; la forza centripeta è $24\text{N}$. La velocità (in ${\text{m s}}^{-1}$) è… A) $4.0$; B) $6.0$; C) $12$; D) $16$; E) $36$.

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

Q14. A cart of $2\text{kg}$ moves at a constant speed on a circular track of $3\text{m}$ radius; the centrifugal force is $24\text{N}$. The speed (in ${\text{m s}}^{-1}$) is… A) $4.0$; B) $6.0$; C) $12$; D) $16$; E) $36$.

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q15. Una pallina rotola dentro un tubo semicircolare appoggiato su un tavolo orizzontale. Vista dall’alto, quale figura rappresenta meglio il moto della pallina quando esce dal tubo? [Cinque traiettorie A–E; all’uscita prosegue in linea retta tangente.]

Quesito 15 — cinque opzioni tubo semicircolare visto dall’alto

Topic: Newtonian Mechanics Metodi: — Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Ball, Tube Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

A ball rolls within a semicircular tube resting on a horizontal table. From the top, which figure best represents the ball’s motion when it comes out of the pipe? [Five AE trajectories; at the exit continue in a straight line tangent.]

Question 15 Five options of semicircular tube as seen from above

Topic: Newtonian Mechanics Metodi: — Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Ball, Tube Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q16. Il grafico riporta lo spostamento dalla posizione di equilibrio di particelle investite da un’onda che viaggia lungo $x$; $P$ è un punto sul percorso. Quale grafico rappresenta lo spostamento in funzione del tempo della particella in $P$? [Cinque grafici $s$–$t$ A–E.]

Quesito 16 — istantanea onda e cinque grafici spostamento-tempo

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

Q16. The graph shows the shift from the equilibrium position of the particles being injected by a wave traveling along $x$; $P$ is a point on the path. What graph represents the time-switched movement of the particle in $P$? [Cinque grafici $s$–$t$ A–E.]

Quesito 16 — istantanea onda e cinque grafici spostamento-tempo

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

Q17. Una forza $F$ su un oggetto di massa $m_1$ produce accelerazione $a$; una forza $3F$ su un oggetto di massa $m_2$ produce accelerazione $2a$. Il rapporto $m_1:m_2$ è… A) $3:2$; B) $2:3$; C) $1:2$; D) $1:3$; E) $1:6$.

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

Q17. A force $F$ on an object of mass $m_1$ produces acceleration $a$; a force $3F$ on an object of mass $m_2$ produces acceleration $2a$. The ratio $m_1:m_2$ is… A) $3:2$; B) $2:3$; C) $1:2$; D) $1:3$; E) $1:6$.

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

Q18. Per misurare il calore latente di vaporizzazione si usa un riscaldatore alimentato da batteria di f.e.m. $V$; si pesa la massa $m$ vaporizzata in un tempo $t$. Nel grafico è riportato $V^2$ in funzione di $m$. Con resistenza $4\Omega$ e tempo $10\text{min}$, il calore latente (in ${\text{J kg}}^{-1}$) è… A) $10$; B) $600$; C) $10000$; D) $600000$; E) $720000$.

Quesito 18 — grafico V quadro in funzione massa vaporizzata

Topic: Thermodynamics Metodi: Experimental Data Analysis, Graph Linearization Competenze: Experimental Data Analysis, Graph Linearization Objects: Battery, Resistor Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Q18. A heater powered by an f.e.m. battery is used to measure the latent heat of vaporization. $V$; weigh the mass $m$ vaporized at a time $t$. The graph shows $V^2$ as a function of $m$. With resistance $4\Omega$ and time $10\text{min}$, the latent heat (in ${\text{J kg}}^{-1}$) is… A) $10$; B) $600$; C) $10000$; D) $600000$; E) $720000$.

Question 18 Chart V of the V chart in the vaporised mass function

Topic: Thermodynamics Metodi: Experimental Data Analysis, Graph Linearization Competenze: Experimental Data Analysis, Graph Linearization Objects: Battery, Resistor Fonte: Testo (PDF) — p.4 The Commission has also adopted a number of proposals for the implementation of the European Union’s Strategy for the Environment, Food and Rural Affairs and the Environment.

Q19. Un pallone da calcio descrive una traiettoria; nel punto $P$ (in salita) quale vettore rappresenta la direzione della resistenza dell’aria? [Cinque vettori A–E; la resistenza è opposta alla velocità.]

Quesito 19 — traiettoria pallone e cinque vettori resistenza aria

Topic: Newtonian Mechanics Metodi: — Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Ball Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A soccer ball describes a trajectory; in the $P$ (ascent) point, which vector represents the direction of air resistance? [Five AE vectors; resistance is opposite to speed.]

Question 19 Ball trajectory and five air resistance carriers

Topic: Newtonian Mechanics Metodi: — Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q20. Il grafico mostra la temperatura in funzione del tempo per una sostanza riscaldata da un fornello a potenza costante. Durante l’intervallo $DE$ (tratto orizzontale) la sostanza subisce… A) diminuzione di energia interna e cambiamento di fase; B) aumento di energia interna e cambiamento di fase; C) aumento di energia interna e nessun cambiamento di fase; D) nessuna variazione di energia interna e un cambiamento di fase; E) nessuna variazione di energia interna e nessun cambiamento di fase.

Quesito 20 — grafico temperatura in funzione del tempo riscaldamento

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q20. The graph shows the temperature in terms of time for a substance heated by a constant-power stove. During the interval $DE$ (horizontal treatment) the substance undergoes… (a) decrease in internal energy and phase change; (b) increase in internal energy and phase change; (c) increase in internal energy and no phase change; (d) no change in internal energy and phase change; (e) no change in internal energy and phase change.

Question 20 Chart of temperature according to heating time

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q21. (Stesso grafico, campione di $2\text{kg}$, calore assorbito a tasso costante $15\text{kJ/min}$.) Il calore specifico nella fase solida (tratto da $20$ a $70\text{°C}$ nei primi $2\text{min}$) è, in ${\text{kJ kg}}^{-1}{\text{K}}^{-1}$… A) $0.2$; B) $0.3$; C) $0.4$; D) $0.5$; E) $0.6$.

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Mathematical Modeling, Experimental Data Analysis Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q21. (Same graph, sample of $2\text{kg}$, heat absorbed at a constant rate $15\text{kJ/min}$.) The specific heat in the solid phase (segment from $20$ to $70\text{°C}$ in the first $2\text{min}$) is, in ${\text{kJ kg}}^{-1}{\text{K}}^{-1}$… A) $0.2$; B) $0.3$; C) $0.4$; D) $0.5$; E) $0.6$.

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Mathematical Modeling, Experimental Data Analysis Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q22. Il volume di un’aula scolastica, in ${\text{m}}^3$, è dell’ordine di… A) $10^{-2}$; B) $10^{-1}$; C) $10^1$; D) $10^2$; E) $10^4$.

Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Q22. The volume of a school classroom, in ${\text{m}}^3$, is of the order of… A) $10^{-2}$; B) $10^{-1}$; C) $10^1$; D) $10^2$; E) $10^4$.

Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Q23. Una barra metallica a sezione costante è formata da due pezzi di uguale lunghezza $L$: la conducibilità termica di $X$ è doppia di quella di $Y$. Le estremità sono a $T_1$ e $T_2$, la barra è isolata lateralmente. Quale grafico rappresenta l’andamento della temperatura lungo la barra? [Cinque grafici $T$ vs posizione; $X$ ha pendenza minore (in modulo) di $Y$ a parità di flusso.]

Quesito 23 — cinque grafici temperatura lungo barra bimetallica

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

A constant section metal bar is made up of two pieces of equal length $L$: the thermal conductivity of $X$ is double that of $Y$. The ends are $T_1$ and $T_2$, the bar is insulated laterally. What graph shows the temperature trend along the bar? [Five graphs $T$ vs. position; $X$ has a slope (in the form) less than $Y$ at parity of flow.]

Question 23 Five temperature charts along the bimetallic bar

Topic: Thermodynamics Metodi: Physical Modeling Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Rod 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.

Q24. Un protone (p) è posto nel punto A vicino a una sfera uniformemente carica positiva. Se per spostarlo da A a B serve un lavoro di $6.4\times 10^{-19}\text{J}$, la differenza di potenziale tra A e B è… A) $4.0\times 10^{-19}\text{V}$; B) $6.4\times 10^{-19}\text{V}$; C) $0.25\text{V}$; D) $4.0\text{V}$; E) $6.4\text{V}$.

Quesito 24 — protone vicino a sfera uniformemente carica positiva

Topic: Electrostatics Metodi: Electric Potential Method Competenze: Mathematical Modeling Objects: Point Charge, Conducting Sphere Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

**Q24. ** A proton (p) is placed at point A near a uniformly positive-charged sphere. If you need a $6.4\times 10^{-19}\text{J}$ work to move it from A to B, the potential difference between A and B is… A) $4.0\times 10^{-19}\text{V}$; B) $6.4\times 10^{-19}\text{V}$; C) $0.25\text{V}$; D) $4.0\text{V}$; E) $6.4\text{V}$.

Question 24 Proton near a positively charged sphere

Topic: Electrostatics Metodi: Electric Potential Method Competenze: Mathematical Modeling Objects: Point Charge, Conducting Sphere Fonte: Testo (PDF) — p.4 The Commission has also adopted a number of proposals for the implementation of the European Union’s Strategy for Sustainable Development (ESD) programme.

Q25. In un esperimento di Millikan una goccia d’olio ha massa $3.2\times 10^{-14}\text{kg}$ e carica $-1.6\times 10^{-18}\text{C}$. Resta in equilibrio quando la forza elettrica verso l’alto eguaglia la gravitazionale. L’intensità del campo elettrico è… A) $2.0\times 10^{-31}\text{N/C}$; B) $2.0\times 10^{-5}$; C) $2.0\times 10^5$; D) $5.0\times 10^{-5}$; E) $5.0\times 10^5\text{N/C}$.

Topic: Electrostatics Metodi: Free-Body Diagram, Coulomb’s Law Competenze: Mathematical Modeling Objects: Droplet Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

In a Millikan experiment, one drop of oil has a mass of $3.2\times 10^{-14}\text{kg}$ and a load of $-1.6\times 10^{-18}\text{C}$. It stays in balance when the upward electrical force equals the gravitational force. The intensity of the electric field is… A) $2.0\times 10^{-31}\text{N/C}$; B) $2.0\times 10^{-5}$; C) $2.0\times 10^5$; D) $5.0\times 10^{-5}$; E) $5.0\times 10^5\text{N/C}$.

Topic: Electrostatics Metodi: Free-Body Diagram, Coulomb’s Law Competenze: Mathematical Modeling Objects: Droplet Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in milk and milk products.

Q26. Un’automobile con velocità iniziale $16{\text{m s}}^{-1}$ è fermata con accelerazione costante in $4\text{s}$. Lo spazio percorso durante la frenata è… A) $4\text{m}$; B) $16\text{m}$; C) $32\text{m}$; D) $64\text{m}$; E) $96\text{m}$.

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

Q26. A car with an initial speed $16{\text{m s}}^{-1}$ is stopped at constant acceleration in $4\text{s}$. The space travelled during the braking is… A) $4\text{m}$; B) $16\text{m}$; C) $32\text{m}$; D) $64\text{m}$; E) $96\text{m}$.

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

Q27. Uno studente applica $10\text{N}$ per spostare un blocco di legno a velocità costante su un piano orizzontale. Poi il blocco è diviso in due parti uguali, una sopra l’altra. Quanto vale la forza $F$ per spostarle a velocità costante? A) $40\text{N}$; B) $20\text{N}$; C) $10\text{N}$; D) $5\text{N}$; E) $2.5\text{N}$.

Quesito 27 — blocco legno intero e diviso PRIMA DOPO

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

Q27. A student applies $10\text{N}$ to move a block of wood at a constant speed on a horizontal plane. Then the block is divided into two equal parts, one on top of the other. What is the force $F$ to move them at a constant speed? A) $40\text{N}$; B) $20\text{N}$; C) $10\text{N}$; D) $5\text{N}$; E) $2.5\text{N}$.

Question 27 Full wood block and split first

Topic: Newtonian Mechanics Metodi: Free-Body Diagram 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 in the Member States of the European Union.

Q28. Una palla di massa $0.6\text{kg}$, ferma, è colpita da una mazza; rimane in contatto $0.2\text{s}$ e parte a $25{\text{m s}}^{-1}$. L’intensità media della forza esercitata dalla palla sulla mazza è… A) $3\text{N}$; B) $8.3\text{N}$; C) $15\text{N}$; D) $75\text{N}$; E) $150\text{N}$.

Topic: Newtonian Mechanics Metodi: Impulse-Momentum Theorem Competenze: Mathematical Modeling Objects: Ball Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

A ball of mass $0.6\text{kg}$, stationary, is hit by a bat; it remains in contact $0.2\text{s}$ and leaves at $25{\text{m s}}^{-1}$. The mean intensity of the force exerted by the ball on the bat is… A) $3\text{N}$; B) $8.3\text{N}$; C) $15\text{N}$; D) $75\text{N}$; E) $150\text{N}$.

Topic: Newtonian Mechanics Metodi: Impulse-Momentum Theorem Competenze: Mathematical Modeling Objects: Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the European Union’s Strategy for the Environment, Food and Rural Affairs (EPA) programme.

Q29. Un corpo di $2\text{kg}$ scivola sul pavimento, accelerato da una forza orizzontale di $30\text{N}$; l’accelerazione è $10{\text{m s}}^{-2}$. Il modulo della forza d’attrito è… A) $0\text{N}$; B) $5\text{N}$; C) $10\text{N}$; D) $20\text{N}$; E) $30\text{N}$.

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

Q29. A body of $2\text{kg}$ slides on the floor, accelerated by a horizontal force of $30\text{N}$; acceleration is $10{\text{m s}}^{-2}$. The modulus of friction force is… A) $0\text{N}$; B) $5\text{N}$; C) $10\text{N}$; D) $20\text{N}$; E) $30\text{N}$.

Topic: Newtonian Mechanics Metodi: Free-Body Diagram 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.

Q30. Da cinque punti a diverse altezze su una scogliera, cinque palle sono lanciate orizzontalmente verso il mare con velocità diverse. Altezze: $125,250,375,400,450\text{m}$. Quale palla raggiunge il mare nel minor tempo? A) $y=125\text{m}$; B) $y=250\text{m}$; C) $y=375\text{m}$; D) $y=400\text{m}$; E) $y=450\text{m}$.

Quesito 30 — cinque palle lanciate da scogliere a diverse altezze

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

From five points at different heights on a cliff, five balls are thrown horizontally into the sea at different speeds. Height: $125,250,375,400,450\text{m}$. What ball reaches the sea in the shortest time? A) $y=125\text{m}$; B) $y=250\text{m}$; C) $y=375\text{m}$; D) $y=400\text{m}$; E) $y=450\text{m}$.

Question 30 Five balls thrown from cliffs at different heights

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Physical Reasoning Objects: Ball, Projectile Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q31. Nella reazione nucleare ${}_{93}^{238}\text{Np}\to {}_{94}^{238}\text{Pu}+X$, la particella $X$ è… A) un protone; B) un neutrone; C) un elettrone; D) un positrone; E) un fotone.

Topic: Nuclear & Particle Physics Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

Q31. Nella reazione nucleare ${}_{93}^{238}\text{Np}\to {}_{94}^{238}\text{Pu}+X$, la particella $X$ è… (a) a proton; (b) a neutron; (c) an electron; (d) a positron; (e) a photon.

Topic: Nuclear & Particle Physics Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

Q32. Due carrelli su superficie senza attrito sono spinti da una molla che scatta. Il carrello A ($3\text{kg}$) parte a $0.33{\text{m s}}^{-1}$, B ha massa $5\text{kg}$. La velocità di B è… A) $0.12$; B) $0.20$; C) $0.27$; D) $0.33$; E) $0.55$ (${\text{m s}}^{-1}$).

Quesito 32 — due carrelli spinti da molla su piano privo di attrito

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

Two unfrictioned surface carriages are pushed by a spring that is firing. The cart A ($3\text{kg}$) starts at $0.33{\text{m s}}^{-1}$, B has mass $5\text{kg}$. The speed of B is… A) $0.12$; B) $0.20$; C) $0.27$; D) $0.33$; E) $0.55$ (${\text{m s}}^{-1}$).

Question 32 Two spring-powered carriages on a frictionless plane

Topic: Conservation of Momentum Metodi: Conservation of Momentum Competenze: Mathematical Modeling Objects: Cart, Spring Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q33. Il diagramma mostra un’onda periodica con punti A, B, C, D, E, F, G. Quale coppia di punti è in fase? A) A e C; B) B e D; C) C ed F; D) E e G; E) A ed F.

Quesito 33 — onda periodica con punti A B C D E F G

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

The diagram shows a periodic wave with points A, B, C, D, E, F, G. What is the point pair in phase? A) A e C; B) B e D; C) C ed F; D) E e G; E) A ed F.

Question 33 Periodic wave with points A B C D E F G

Topic: Oscillations & Waves Metodi: — Competenze: Diagrammatic Reasoning, 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.

Q34. Una palla elastica cade verticalmente da ferma e rimbalza verso l’alto. Quale grafico rappresenta la velocità nel tempo (positiva verso l’alto)? [Cinque grafici $v$–$t$; rette di pendenza $-g$ con salto di segno al rimbalzo.]

Quesito 34 — cinque grafici velocita in funzione del tempo rimbalzo

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

A ball of elasticity falls vertically from the ground and bounces upwards. What graph represents the speed over time (positive upwards)? [Five graphs v$$t; slope lines $-g$ with a bounce-slip sign.]

Question 34 5 fast charts depending on the bounce time

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q35. Un cilindro chiuso da un pistone mobile contiene gas perfetto. Del calore fa espandere il gas e salire il pistone. Se tutto il calore fornito è convertito in lavoro per sollevare il pistone, allora… A) energia interna decresce, $T$ cresce; B) energia interna cresce, $T$ cresce; C) energia interna invariata, $T$ cresce; D) energia interna invariata, $T$ invariata; E) energia interna cresce, $T$ invariata.

indiano tende arco con freccia

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning Objects: Gas, Cylinder, Piston Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

A cylinder closed by a moving piston contains perfect gas. Heat makes the gas expand and the piston rise. If all the heat supplied is converted to work to lift the piston, then… (a) internal energy decreases, $T$ increases; (b) internal energy increases, $T$ increases; (c) internal energy unchanged, $T$ increases; (d) internal energy unchanged, $T$ increases; (e) internal energy increases, $T$ increases.

• Indian bow and arrow curves *

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning Objects: Gas, Cylinder, Piston Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the European Union’s Strategy for the Environment, Food and Rural Affairs (EPA) programme.

Q36. Quale combinazione di unità di misura fondamentali del SI esprime il peso di un oggetto? A) chilogrammo; B) chilogrammo·metro; C) chilogrammo/secondo; D) chilogrammo·metro/secondo; E) chilogrammo·metro/secondo2.

Topic: Newtonian Mechanics Metodi: Dimensional Analysis Competenze: Unit Conversion Objects: — Fonte: Testo (PDF) — p.4 Risposta: E · Soluzioni (PDF)

Q36. What combination of SI fundamental units of measurement expresses the weight of an object? (a) kilogram; (b) kilogramm·meter; (c) kilogram/second; (d) kilogramm·meter/second; (e) kilogramm·meter/second2.

Topic: Newtonian Mechanics Metodi: Dimensional Analysis Competenze: Unit Conversion Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q37. L’accelerazione di caduta libera di una sferetta si determina misurando i tempi $t_1$ e $t_2$ in cui essa, lasciata cadere da ferma a $t=0$, passa per i punti $X$ e $Y$ separati da $h$. L’accelerazione risulta… A) $\frac{2h}{(t_2-t_1{)}^2}$; B) $\frac{2h}{t_2-t_1}$; C) $\frac{h}{2(t_2-t_1{)}^2}$; D) $\frac{2h}{t_2^2-t_1^2}$; E) $\frac{h}{2(t_2^2-t_1^2)}$.

Quesito 37 — sferetta in caduta libera con posizioni X Y

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

Q37. The free-fall acceleration of a sphere is determined by measuring the $t_1$ and $t_2$ times when it, when dropped from a standstill to $t=0$, passes through the $X$ and $Y$ points separated from $h$. The acceleration is… A) $\frac{2h}{(t_2-t_1{)}^2}$; B) $\frac{2h}{t_2-t_1}$; C) $\frac{h}{2(t_2-t_1{)}^2}$; D) $\frac{2h}{t_2^2-t_1^2}$; E) $\frac{h}{2(t_2^2-t_1^2)}$.

Question 37 Free-falling sphere with positions X and Y

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling, Experimental Data Analysis Objects: Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the European Union’s Strategy for the Environment, Food and Rural Affairs (EPA) programme.

Q38. Il diagramma mostra la posizione di un corpo su traiettoria rettilinea (da $0$ a $60\text{m}$ nei primi $5\text{s}$). La velocità media nei primi $5\text{s}$ è… A) $0$; B) $12$; C) $20$; D) $40$; E) $80$ (${\text{m s}}^{-1}$).

Quesito 38 — grafico posizione in funzione del tempo moto rettilineo

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

Q38. The diagram shows the position of a body on a straight path (from $0$ to $60\text{m}$ in the first $5\text{s}$). The average speed in the first $5\text{s}$ is… A) $0$; B) $12$; C) $20$; D) $40$; E) $80$ (${\text{m s}}^{-1}$).

Question 38 Position graph according to straight-line motion time

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: Block Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the programme.

Q39. Un raggio di luce incide su uno specchio sferico (concavo); $F$ e $C$ sono fuoco e centro di curvatura. Il raggio riflesso passerà dal punto… A) R; B) F; C) Q; D) C; E) P. [Raggio parallelo all’asse ⇒ riflesso per il fuoco.]

Quesito 39 — raggio luce su specchio sferico con fuoco F e centro C

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

Q39. A beam of light hits a spherical mirror (shaped); $F$ and $C$ are fire and center of curvature. The reflected beam will pass through the point… A) R; B) F; C) Q; D) C; E) P. [Axis parallel beam ⇒ reflected for fire.]

Question 39 Light ray on spherical mirror with F and C centre

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 (EC) on the common organization of the market in milk and milk products.

Q40. Quattro circuiti (A, B, C, D) con amperometro, due voltmetri $V_1$, $V_2$ e resistori. In quale coppia di circuiti le letture dei due voltmetri e dell’amperometro possono essere corrette? A) A e B; B) B e C; C) C e D; D) A e D; E) B e E.

generatore onde stazionarie muro riflettente

Quesito 40 — quattro circuiti elettrici con voltmetri e amperometro

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Resistor Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Q40. Four circuits (A, B, C, D) with ampere, two voltmeters $V_1$, $V_2$ and resistors. In which circuit pair can the readings of the two-voltmeter and the amperometer be corrected? A) A e B; B) B e C; C) C e D; D) A e D; E) B e E.

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

Question 40 Four electrical circuits with voltmeter and ampere

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Resistor Fonte: Testo (PDF) — p.4 The Commission has also adopted a number of proposals for the implementation of the European Union’s Strategy for the Environment, Food and Rural Affairs and the Environment.