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POST UTME WELLSPRING UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME WELLSPRING 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 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. 4 m/s^2

B. 8 m/s^2

Correct C. 12 m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 2

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 3

A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium with a speed of 340 m/s. What is the amplitude of the sound wave?

Correct A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: A

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Question 4

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?

A. 6 m/s^2

B. 8 m/s^2

Correct C. 10 m/s^2

D. 12 m/s^2

Correct Answer: C

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Question 5

A block of mass 4 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 25 N/m. If the block is displaced by 3 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 3 m/s

B. 4 m/s

Correct C. 5 m/s

D. 6 m/s

Correct Answer: C

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Question 6

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

A. 40°

B. 50°

Correct C. 60°

D. 70°

Correct Answer: C

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Question 7

A charged particle moves through a magnetic field. If the particle has a charge of +2e and a velocity of 3 × 10^6 m/s, and the magnetic field has a strength of 0.5 T, what is the force experienced by the particle?

A. 3 × 10^-6 N

B. 6 × 10^-6 N

Correct C. 9 × 10^-6 N

D. 12 × 10^-6 N

Correct Answer: C

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Question 8

A photon has an energy of 2.5 eV. What is its wavelength?

A. 500 nm

B. 600 nm

Correct C. 700 nm

D. 800 nm

Correct Answer: C

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Question 9

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. 1.5 A

B. 2 A

Correct C. 2.5 A

D. 3 A

Correct Answer: C

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Question 10

A vector has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. What is its x-component?

Correct A. 2.5 units

B. 3 units

C. 4 units

D. 5 units

Correct Answer: A

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Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, calculate the electric field between the plates.

A. 200 V/m

Correct B. 400 V/m

C. 600 V/m

D. 800 V/m

Correct Answer: B

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Question 12

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

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 13

A gas at 300 K and 1 atm expands to twice its original volume. Calculate the new pressure.

A. 0.5 atm

B. 1 atm

Correct C. 2 atm

D. 4 atm

Correct Answer: C

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Question 14

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

A. 0.1 J

B. 0.2 J

Correct C. 0.3 J

D. 0.4 J

Correct Answer: C

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Question 15

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the image is formed 1 m away from the lens, calculate the magnification.

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 16

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $ psi_1\( x \ $ = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $). What is the probability of finding the particle in the region $0 leq x leq \frac{L}{2}$?

Correct A. $ \frac{1}{2} $

B. $ \frac{1}{4} $

C. $ \frac{1}{8} $

D. $ \frac{1}{16} $

Correct Answer: A

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Question 17

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. The magnetic field $B$ is perp\endicular to the plane of the orbit. What is the magnitude of the magnetic field $B$ required to keep the particle in a stable orbit?

Correct A. $ \frac{mv}{qr} $

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

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

D. $ \frac{m^2v^2}{qr^2} $

Correct Answer: A

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Question 18

A radioactive sample decays with a half-life of $T_{1/2}$. What is the activity of the sample after a time $t = 3T_{1/2}$?

Correct A. $ \frac{A_0}{8} $

B. $ \frac{A_0}{4} $

C. $ \frac{A_0}{2} $

D. $ A_0 $

Correct Answer: A

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Question 19

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field $B$. The particle has a velocity $v$ perp\endicular to the magnetic field. What is the radius of the circular orbit?

Correct A. $ \frac{mv}{qB} $

B. $ \frac{m^2v}{q^2B} $

C. $ \frac{m^2v^2}{q^2B} $

D. $ \frac{m^2v^2}{qB} $

Correct Answer: A

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Question 20

A parallel plate capacitor has a capaci\tance $C$ and a plate separation $d$. The capacitor is connected to a battery of voltage $V$. What is the energy stored in the capacitor?

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

B. $ CV^2 $

C. $ \frac{1}{2} CdV^2 $

D. $ CdV^2 $

Correct Answer: A

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Question 21

A solid cylindrical rod of length 1.5 m and radius 0.05 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 to the rod, what is the resulting strain?

Correct A. 0.0005

B. 0.0001

C. 0.0002

D. 0.0003

Correct Answer: A

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Question 22

A 10 V battery is connected to a 2 Ω resistor in series with a 4 Ω resistor. What is the current flowing through the 4 Ω resistor?

Correct A. 2.5 A

B. 1.25 A

C. 1.0 A

D. 0.5 A

Correct Answer: A

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Question 23

A particle is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, what is the magnitude of the acceleration of the particle?

Correct A. 10 m/s^2

B. 5 m/s^2

C. 2.5 m/s^2

D. 1.25 m/s^2

Correct Answer: A

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Question 24

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 50 Ω

Correct B. 66.67 Ω

C. 75 Ω

D. 100 Ω

Correct Answer: B

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Question 25

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is the resulting amplitude of the oscillations?

Correct A. 0.01 m

B. 0.02 m

C. 0.03 m

D. 0.04 m

Correct Answer: A

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