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POST UTME VERITAS UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME VERITAS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 2

A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capaci\tance of the capacitor is 2.5 x 10^-10 F. If a potential difference of 10 V is applied across the plates, calculate the charge stored on each plate.

Correct A. 6.25 x 10^-10 C

B. 1.25 x 10^-9 C

C. 2.5 x 10^-9 C

D. 5 x 10^-9 C

Correct Answer: A

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Question 3

A particle of mass 0.5 kg is moving in a circular path of radius 0.1 m with a speed of 2 m/s. If the particle is subject to a centripetal force of 0.5 N, calculate the time taken for the particle to complete one revolution.

A. 10 s

Correct B. 20 s

C. 30 s

D. 40 s

Correct Answer: B

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Question 4

A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, calculate the angle of deviation.

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 5

A gas is heated from 20°C to 50°C. If the initial volume is 2 m^3 and the final volume is 3 m^3, calculate the work done by the gas.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 6

A radioactive sample of Uranium-238 decays into Thorium-234 with a half-life of 4.5 billion years. If the initial mass of Uranium-238 is 100g, calculate the mass of Thorium-234 produced after 9 billion years.

A. 50g

B. 25g

Correct C. 12.5g

D. 6.25g

Correct Answer: C

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Question 7

A convex lens of focal length 20cm is placed 30cm in front of a screen. If an object is placed 40cm in front of the lens, calculate the position of the image formed on the screen.

A. 60cm

B. 80cm

Correct C. 100cm

D. 120cm

Correct Answer: C

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Question 8

A point charge of +2μC is placed 10cm from a metal sphere of radius 5cm. If the sphere is earthed, calculate the electric potential at the surface of the sphere.

A. 100V

B. 200V

Correct C. 300V

D. 400V

Correct Answer: C

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Question 9

A particle of mass 2kg is attached to a spring of spring cons\tant 100N/m. If the particle is displaced by 0.5m from its equilibrium position and released, calculate the frequency of oscillation.

A. 1Hz

Correct B. 2Hz

C. 3Hz

D. 4Hz

Correct Answer: B

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Question 10

A liquid of density 1000kg/m^3 is contained in a \tank of height 2m. If the pressure at the bottom of the \tank is 100kPa, calculate the pressure at a depth of 1.5m.

A. 50kPa

Correct B. 75kPa

C. 100kPa

D. 125kPa

Correct Answer: B

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Question 11

A solid cylindrical rod of radius 0.05 m and length 1.5 m is made of a material with Young's modulus of 2.0 x 10^11 N/m^2. If a force of 50 N is applied \tangentially to the rod, what is the angular displacement of the rod from its original position?

A. 0.01 rad

Correct B. 0.02 rad

C. 0.03 rad

D. 0.04 rad

Correct Answer: B

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Question 12

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 1.0 rad/s

Correct B. 2.0 rad/s

C. 3.0 rad/s

D. 4.0 rad/s

Correct Answer: B

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Question 13

A magnetic field of 0.5 T is directed along the z-axis. A current of 2 A flows in a circular loop of radius 0.1 m placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.1 A m^2

Correct B. 0.2 A m^2

C. 0.3 A m^2

D. 0.4 A m^2

Correct Answer: B

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Question 14

A sound wave with frequency 200 Hz and amplitude 0.01 m is traveling through a medium with speed 343 m/s. What is the wavelength of the sound wave?

A. 0.01 m

Correct B. 0.02 m

C. 0.03 m

D. 0.04 m

Correct Answer: B

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Question 15

A lens with focal length 0.2 m is placed in a beam of light with wavelength 500 nm. What is the angle of deviation of the light as it passes through the lens?

A. 0.01 rad

Correct B. 0.02 rad

C. 0.03 rad

D. 0.04 rad

Correct Answer: B

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Question 16

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $$, where $n$ is a positive integer. What is the expectation value of the position of the particle?

Correct A. L/2

B. nπL/2

C. L/4

D. nπL/4

Correct Answer: A

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Question 17

A parallel plate capacitor has a capaci\tance of 10 μF and is connected to a battery of 12 V. If the dis\tance between the plates is increased by a factor of 2, what is the new capaci\tance?

A. 5 μF

Correct B. 20 μF

C. 10 μF

D. 40 μF

Correct Answer: B

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Question 18

A radioactive sample decays according to the equation $N(t) = N_0 e^{-\lambda t}$, where $N_0$ is the initial number of nuclei, $\lambda$ is the decay cons\tant, and $t$ is time. If the half-life of the sample is 10 years, what is the decay cons\tant?

A. 0.0693 yr^$ -1 $

Correct B. 0.693 yr^$ -1 $

C. 0.0693 yr^$ -1 $

D. 0.693 yr^$ -1 $

Correct Answer: B

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Question 19

A beam of light passes through a prism and is re\fracted. The angle of incidence is 30° and the angle of re\fraction is 20°. What is the angle of deviation?

Correct A. 10°

B. 20°

C. 30°

D. 40°

Correct Answer: A

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Question 20

A magnetic field is produced by a current-carrying wire. The current is 2 A and the length of the wire is 1 m. What is the magnetic field at a dis\tance of 0.5 m from the wire?

A. 0.01 T

Correct B. 0.1 T

C. 0.5 T

D. 1 T

Correct Answer: B

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Question 21

A parallel plate capacitor has plates of area 0.04 m^2 and separation 3 mm. If the capaci\tance is 2.5 nF, determine the charge stored when the potential difference between the plates is 10 V.

A. 2.5 x 10^-7 C

Correct B. 5.0 x 10^-7 C

C. 7.5 x 10^-7 C

D. 1.0 x 10^-6 C

Correct Answer: B

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Question 22

A ray of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 40°, determine the angle of deviation.

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 23

A block of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, determine the maximum velocity of the block.

A. 0.5 m/s

B. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

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Question 24

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 days, determine the activity after 20 days.

A. 50 Bq

Correct B. 75 Bq

C. 100 Bq

D. 150 Bq

Correct Answer: B

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Question 25

A ray of light passes through a lens and is focused. If the focal length of the lens is 20 cm and the object dis\tance is 30 cm, determine the image dis\tance.

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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