POST UTME WELLSPRING UNIVERSITY 2023 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 2023 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1
A solid sphere of radius 5 cm and mass 0.5 kg is submerged in a liquid of density 0.8 g/cm³. Calculate the buoyant force acting on the sphere.
A. 0.2 N
Correct B. 0.4 N
C. 0.6 N
D. 0.8 N

Correct Answer: B

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Question 2
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°
Correct B. 25°
C. 30°
D. 35°

Correct Answer: B

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Question 3
A capacitor consists of two parallel plates, each of area 0.01 m² and separated by a dis\tance of 0.001 m. If the capaci\tance is 10 μF, calculate the charge stored when a potential difference of 10 V is applied across the plates.
A. 0.01 C
Correct B. 0.02 C
C. 0.03 C
D. 0.04 C

Correct Answer: B

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Question 4
A spring of force cons\tant 100 N/m is stretched by 0.2 m. Calculate the work done in stretching the spring.
A. 2 J
Correct B. 4 J
C. 6 J
D. 8 J

Correct Answer: B

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Question 5
A light ray passes through a convex lens of focal length 0.2 m. If the object dis\tance is 0.3 m, calculate the image dis\tance.
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 6
A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$ with an initial velocity $v_0$ perp\endicular to the magnetic field. If the particle is deflected by an angle $\theta$ from its initial direction, what is the magnitude of the magnetic field?
Correct A. B = \frac{mv_0 \sin \theta}{q}
B. B = \frac{mv_0 \cos \theta}{q}
C. B = \frac{mv_0 \sin \theta}{2q}
D. B = \frac{mv_0 \cos \theta}{2q}

Correct Answer: A

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Question 7
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay, emitting an electron of energy $E_e$ and a neutrino of energy $E_\nu$. If the initial kinetic energy of the nucleus is $T_i$, what is the final kinetic energy of the nucleus?
Correct A. T_f = T_i + E_e + E_\nu
B. T_f = T_i - E_e - E_\nu
C. T_f = T_i + E_e - E_\nu
D. T_f = T_i - E_e + E_\nu

Correct Answer: A

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Question 8
A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$, with $T_1 > T_2$. If the engine absorbs heat $Q_1$ from the high-temperature reservoir and rejects heat $Q_2$ to the low-temperature reservoir, what is the efficiency of the engine?
Correct A. \eta = 1 - \frac{T_2}{T_1}
B. \eta = 1 + \frac{T_2}{T_1}
C. \eta = \frac{T_2}{T_1}
D. \eta = 1 - \frac{T_1}{T_2}

Correct Answer: A

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Question 9
A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the image is real and inverted, what is the magnification of the lens?
Correct A. -\frac{f}{u}
B. \frac{f}{u}
C. -\frac{u}{f}
D. \frac{u}{f}

Correct Answer: A

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Question 10
A fluid of density $\rho$ and vis\cosity $\mu$ flows through a pipe of radius $R$ and length $L$. If the fluid has a velocity $v$ at the entrance of the pipe, what is the pressure drop $\Delta P$ across the pipe?
Correct A. \frac{8\mu Lv}{\pi R^4}
B. \frac{4\mu Lv}{\pi R^4}
C. \frac{2\mu Lv}{\pi R^4}
D. \frac{\mu Lv}{\pi R^4}

Correct Answer: A

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Question 11
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.
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 12
A block of mass 5 kg is placed on a frictionless surface and attached to a spring with a spring cons\tant of 200 N/m. The block is displaced by 0.5 m from its equilibrium position and given an initial velocity of 2 m/s. Assuming the motion is simple harmonic, calculate the maximum displacement of the block.
A. 0.1 m
B. 0.2 m
Correct C. 0.3 m
D. 0.4 m

Correct Answer: C

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Question 13
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
Correct A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq

Correct Answer: A

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Question 14
A gas is contained in a cylinder of volume 2 L at a pressure of 100 kPa. If the temperature is increased by 20°C, calculate the new pressure.
A. 120 kPa
B. 140 kPa
Correct C. 160 kPa
D. 180 kPa

Correct Answer: C

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Question 15
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m at a speed of 2 m/s. Calculate the centripetal acceleration.
A. 2 m/s^2
Correct B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

Correct Answer: B

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Question 16
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. 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 17
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the plates are then separated by a dis\tance of 2 cm, 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 18
A beam of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
Correct B. 25°
C. 30°
D. 35°

Correct Answer: B

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Question 19
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?
A. 2 m/s^2
B. 5 m/s^2
Correct C. 10 m/s^2
D. 15 m/s^2

Correct Answer: C

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Question 20
A circuit consists of a 2 Ω resistor and a 3 Ω resistor connected in parallel. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 2 Ω resistor?
Correct A. 2 A
B. 3 A
C. 4 A
D. 5 A

Correct Answer: A

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Question 21
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3.5, calculate the capaci\tance.
A. 0.01 F
Correct B. 0.02 F
C. 0.03 F
D. 0.04 F

Correct Answer: B

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Question 22
A particle of mass 0.5 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 speed of the particle.
A. 0.5 m/s
B. 1 m/s
Correct C. 1.5 m/s
D. 2 m/s

Correct Answer: C

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Question 23
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
Correct B. 25°
C. 30°
D. 35°

Correct Answer: B

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Question 24
A gas expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. If the initial temperature is 300 K, calculate the final temperature.
A. 250 K
B. 300 K
Correct C. 350 K
D. 400 K

Correct Answer: C

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Question 25
A capacitor of capaci\tance 10 μF is connected to a battery of voltage 12 V. If the capacitor is then disconnected from the battery and connected to a resistor of resis\tance 2 kΩ, calculate the time cons\tant.
A. 0.02 s
Correct B. 0.04 s
C. 0.06 s
D. 0.08 s

Correct Answer: B

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