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POST UTME LASU 2024 Physics | Objective

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Question 1

A gas is enclosed in a container with a movable piston. The gas is heated from 300 K to 400 K. If the initial volume is 2.0 L and the final volume is 4.0 L, what is the value of the gas cons\tant R?

Correct A. 8.314 J/mol·K

B. 10.73 J/mol·K

C. 12.47 J/mol·K

D. 20.79 J/mol·K

Correct Answer: A

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Question 2

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V AC source. What is the impedance of the circuit?

A. 15 Ω

Correct B. 20 Ω

C. 25 Ω

D. 30 Ω

Correct Answer: B

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Question 3

A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 1.0 m/s

Correct B. 2.0 m/s

C. 3.0 m/s

D. 4.0 m/s

Correct Answer: B

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Question 4

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

A. 20°

B. 25°

C. 30°

Correct D. 35°

Correct Answer: D

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Question 5

A 5.0 m long rod is heated from 20°C to 100°C. If the coefficient of linear expansion is 10 × 10^$ -6 $ K^$ -1 $, what is the change in length?

A. 0.05 m

Correct B. 0.10 m

C. 0.15 m

D. 0.20 m

Correct Answer: B

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Question 6

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 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 7

A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

Correct A. 2.5 μF

B. 5 μF

C. 10 μF

D. 20 μF

Correct Answer: A

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Question 8

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 9

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 10

A car is traveling at a speed of 60 km/h. If the driver applies the brakes and the car comes to a stop in 10 seconds, what is the magnitude of the acceleration of the car?

A. -6 m/s^2

Correct B. -12 m/s^2

C. -18 m/s^2

D. -24 m/s^2

Correct Answer: B

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Question 11

A particle of mass $m$ and charge $q$ is moving in a circular path of radius $r$ in a uniform magnetic field $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{qr}

B. \frac{mv^2}{qr}

C. \frac{m^2v}{qr}

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

Correct Answer: A

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Question 12

A block of mass $M$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the maximum speed of the block?

Correct A. \sqrt{\frac{kx^2}{M}}

B. \sqrt{\frac{Mx^2}{k}}

C. \sqrt{\frac{k}{Mx^2}}

D. \sqrt{\frac{M}{kx^2}}

Correct Answer: A

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Question 13

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capacitor is charged to a potential difference $V$, what is the energy stored in the capacitor?

Correct A. \frac{1}{2}CV^2

B. \frac{1}{2}AV^2

C. \frac{1}{2}dV^2

D. \frac{1}{2}AVd

Correct Answer: A

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Question 14

A photon of wavelength $\lambda$ has energy $E$. If the photon is absorbed by an electron, what is the maximum kinetic energy of the electron?

Correct A. E

B. \frac{E}{2}

C. \frac{E}{4}

D. \frac{E}{8}

Correct Answer: A

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Question 15

A block of mass $M$ is attached to a horizontal spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the period of the resulting simple harmonic motion?

Correct A. 2\pi\sqrt{\frac{M}{k}}

B. 2\pi\sqrt{\frac{k}{M}}

C. \pi\sqrt{\frac{M}{k}}

D. \pi\sqrt{\frac{k}{M}}

Correct Answer: A

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Question 16

A gas is heated from 300 K to 500 K at cons\tant volume. If the initial pressure is 1.2 atm, what is the final pressure?

A. 1.5 atm

Correct B. 2.0 atm

C. 2.5 atm

D. 3.0 atm

Correct Answer: B

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Question 17

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

A. 5 minutes

Correct B. 10 minutes

C. 15 minutes

D. 20 minutes

Correct Answer: B

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Question 18

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal force?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 19

A wave has a frequency of 100 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 50 m/s

Correct B. 100 m/s

C. 150 m/s

D. 200 m/s

Correct Answer: B

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Question 20

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the wire is 0.5 m long, what is the magnitude of the magnetic field at a dis\tance of 1 m from the wire?

A. 0.1 T

Correct B. 0.2 T

C. 0.3 T

D. 0.4 T

Correct Answer: B

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Question 21

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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 8 m/s^2

Correct B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 22

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 hours, what is the activity of the sample after 4 hours?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 23

A 100 V, 50 Hz AC source is connected to a 50 Ω resistor. What is the rms value of the current flowing through the resistor?

Correct A. 1 A

B. 2 A

C. 5 A

D. 10 A

Correct Answer: A

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Question 24

A 5 kg block is moving on a frictionless surface with an initial velocity of 10 m/s. If a force of 20 N is applied to the block for 2 seconds, what is the final velocity of the block?

A. 15 m/s

Correct B. 20 m/s

C. 25 m/s

D. 30 m/s

Correct Answer: B

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Question 25

A heat engine operates between a temperature of 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output of the engine?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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