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POST UTME UNN 2024 Physics | Objective

Are you preparing for POST UTME UNN 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 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, calculate the root mean square (RMS) value of the current.

A. 2 A

Correct B. 4 A

C. 5 A

D. 10 A

Correct Answer: B

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Question 2

A particle of mass 2 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 and released from rest, calculate the maximum velocity of the particle.

A. 1 m/s

B. 2 m/s

Correct C. 5 m/s

D. 10 m/s

Correct Answer: C

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Question 3

A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, calculate 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 4

A magnetic field of magnitude 0.5 T is directed along the z-axis. If a current of 2 A is flowing in a wire loop of radius 0.1 m, calculate the torque experienced by the loop.

A. 0.1 Nm

Correct B. 0.2 Nm

C. 0.3 Nm

D. 0.4 Nm

Correct Answer: B

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Question 5

A photon of energy 2 eV is incident on a metal surface with a work function of 1.5 eV. If the photon is not absorbed, calculate the kinetic energy of the electron.

Correct A. 0.5 eV

B. 1 eV

C. 1.5 eV

D. 2 eV

Correct Answer: A

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Question 6

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?

A. 36 g

B. 40 g

Correct C. 44 g

D. 48 g

Correct Answer: C

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Question 7

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

Correct A. 1.7 m

B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: A

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Question 8

A particle is moving in a circular path with a radius of 2 m. If the particle has a mass of 0.5 kg and is moving with a speed of 4 m/s, what is the magnitude of the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

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

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

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Question 10

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

A. 1000 J

B. 1500 J

Correct C. 2000 J

D. 2500 J

Correct Answer: C

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Question 11

A thermodynamic system undergoes a process from state A to state B. If the system's internal energy is given by \( U = \frac{3}{2}nRT \), where (n) is the number of moles, (R) is the gas cons\tant, and (T) is the temperature in Kelvin, determine the change in internal energy (Delta U) for a process where the temperature increases from 300 K to 400 K, and the number of moles remains cons\tant.

A. -150 J

Correct B. 150 J

C. 300 J

D. 600 J

Correct Answer: B

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Question 12

A particle of mass (m) is confined to a one-dimensional box of length (L). If the particle's wave function is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)), where (n) is a positive integer, determine the probability of finding the particle in the region \( 0 < x < \frac{L}{2} \).

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 13

A magnetic field is given by \( vec{B} = \( 2hat{i} + 3hat{j} \ \) \times 10^{-3} T). If a current of 5 A flows through a wire of length 2 m, determine the force exerted on the wire.

A. \( 2.5 \times 10^{-3} N \)

Correct B. \( 5.0 \times 10^{-3} N \)

C. \( 7.5 \times 10^{-3} N \)

D. \( 1.0 \times 10^{-2} N \)

Correct Answer: B

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Question 14

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 15

A lens of focal length 10 cm is used to form an image of an object 20 cm away. If the object is moved 5 cm closer to the lens, determine the new image dis\tance.

A. 15 cm

B. 20 cm

Correct C. 25 cm

D. 30 cm

Correct Answer: C

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Question 16

A sound wave with a frequency of 200 Hz is produced by a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, calculate the apparent frequency heard by the observer.

A. 220 Hz

Correct B. 240 Hz

C. 260 Hz

D. 280 Hz

Correct Answer: B

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Question 17

A 2 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, calculate the work done by the spring in bringing the block back to its equilibrium position.

A. 2 J

Correct B. 4 J

C. 6 J

D. 8 J

Correct Answer: B

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Question 18

A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10 nF, calculate the charge stored on each plate when a potential difference of 10 V is applied across the capacitor.

Correct A. 0.1 C

B. 0.2 C

C. 0.3 C

D. 0.4 C

Correct Answer: A

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Question 19

A convex lens of focal length 0.2 m is used to form an image of an object placed 0.5 m away from the lens. Calculate the magnification of the image formed.

A. 0.2

Correct B. 0.4

C. 0.6

D. 0.8

Correct Answer: B

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Question 20

A 50 Hz AC voltage is applied across a circuit containing a resistor of 10 ohms and an inductor of 5 H. If the initial current is 0 A, calculate the current in the circuit after 0.1 s.

A. 0.1 A

B. 0.2 A

Correct C. 0.3 A

D. 0.4 A

Correct Answer: C

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Question 21

A sound wave with a frequency of 200 Hz is emitted from a stationary source. A listener is moving towards the source at a speed of 5 m/s. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the listener?

A. 220 Hz

B. 240 Hz

Correct C. 260 Hz

D. 280 Hz

Correct Answer: C

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Question 22

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?

A. 10 cm

Correct B. 15 cm

C. 20 cm

D. 25 cm

Correct Answer: B

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Question 23

A magnetic field of 0.5 T is applied to a coil of 100 turns. If the coil is rotated through an angle of 90° in 0.1 s, what is the induced emf?

A. 0.5 V

B. 1 V

Correct C. 2 V

D. 5 V

Correct Answer: C

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Question 24

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 25

A capacitor of 10 μF is connected in parallel with a resistor of 100 Ω. If a voltage of 20 V is applied across the circuit, what is the current through the resistor?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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