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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2018 Physics | Objective

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Question 1

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 2

A magnetic field of 0.5 T is applied to a current-carrying wire of length 2.0 m. If the current in the wire is 3.0 A, what is the magnitude of the force experienced by the wire?

A. 0.15 N

B. 0.30 N

Correct C. 0.45 N

D. 0.60 N

Correct Answer: C

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Question 3

A gas is contained in a cylinder of volume 2.0 L at a pressure of 1.0 atm. If the gas is heated to a temperature of 300 K, what is the new volume of the gas?

A. 2.5 L

Correct B. 3.0 L

C. 3.5 L

D. 4.0 L

Correct Answer: B

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Question 4

A particle of mass 1.0 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position, what is the magnitude of the force exerted by the spring on the particle?

A. 25 N

B. 50 N

C. 75 N

Correct D. 100 N

Correct Answer: D

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Question 5

A photon of energy 2.0 eV is incident on a metal surface with a work function of 1.5 eV. What is the maximum kinetic energy of the electron emitted?

A. 0.5 eV

Correct B. 1.0 eV

C. 1.5 eV

D. 2.0 eV

Correct Answer: B

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Question 6

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the acceleration of the particle?

A. \frac{v^2}{r}

B. \frac{2v^2}{r}

C. \frac{mv^2}{r^2}

Correct D. \frac{mv^2}{r}

Correct Answer: D

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Question 7

A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. If the wavelength of the sound wave is 1.7 m, what is the amplitude of the wave?

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 8

A heat engine operates between two temperatures, $T_1 = 300 K$ and $T_2 = 200 K$. If the engine produces 100 J of work per cycle, what is the efficiency of the engine?

A. 20%

B. 30%

Correct C. 40%

D. 50%

Correct Answer: C

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Question 9

A gas is confined to a cylinder of volume $V = 2 m^3$. If the gas is heated, cau\sing the pressure to increase from $P_1 = 100 kPa$ to $P_2 = 200 kPa$, what is the final volume of the gas?

A. 4 m^3

Correct B. 6 m^3

C. 8 m^3

D. 10 m^3

Correct Answer: B

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Question 10

A circuit consists of a resistor $R = 10 Omega$, an inductor $L = 5 H$, and a capacitor $C = 0.1 F$. If the circuit is driven by a voltage source $V = 10 V$, what is the impedance of the circuit?

A. 15 Omega

B. 20 Omega

Correct C. 25 Omega

D. 30 Omega

Correct Answer: C

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Question 11

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 12

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine produces 100 J of work per cycle, what is the efficiency of the engine?

A. 0.25

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

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Question 13

A radioactive sample decays from 100 Bq to 50 Bq in 10 minutes. What is the half-life of the sample?

A. 5 min

Correct B. 10 min

C. 15 min

D. 20 min

Correct Answer: B

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Question 14

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 15

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 16

A particle of mass 2 kg is moving in a circular orbit of radius 3 m with a speed of 4 m/s. If the particle is subjected to a centripetal force of 10 N, what is the angular velocity of the particle?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 17

A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 18

A radioactive sample decays at a rate of 5% per hour. If the initial activity is 100 Bq, what is the activity after 2 hours?

A. 50 Bq

Correct B. 75 Bq

C. 90 Bq

D. 95 Bq

Correct Answer: B

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Question 19

A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.2

B. 0.3

Correct C. 0.4

D. 0.5

Correct Answer: C

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Question 20

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?

A. 1 s

Correct B. 2 s

C. 3 s

D. 4 s

Correct Answer: B

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