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POST UTME CHRISTOPHER UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME CHRISTOPHER UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, find the equation of motion of the particle. Assume that the motion is simple harmonic.

Correct A. $ x(t) = A\cos\( \omega t + \phi $

B. $ x(t) = A\sin\( \omega t + \phi $

C. $ x(t) = A\cos\( \omega t $

D. $ x(t) = A\sin\( \omega t $

Correct Answer: A

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Question 2

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$. If the particle has an initial velocity $v_0$ perp\endicular to the magnetic field, find the equation of motion of the particle.

Correct A. $ x(t) = \frac{qB}{m}t $

B. $ x(t) = \frac{qB}{m}t^2 $

C. $ x(t) = \frac{qB}{m} $

D. $ x(t) = \frac{qB}{m}e^{t} $

Correct Answer: A

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Question 3

A sound wave with frequency $f$ and amplitude $A$ is propagating through a medium with speed $v$. If the wave is reflected from a rigid wall, find the equation of the reflected wave.

Correct A. $ y(x,t) = A\sin\( kx + \omega t $

B. $ y(x,t) = A\cos\( kx - \omega t $

C. $ y(x,t) = A\cos\( kx + \omega t $

D. $ y(x,t) = A\sin(kx) $

Correct Answer: A

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Question 4

A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$. If the engine absorbs heat $Q_1$ from the high-temperature reservoir and rejects heat $Q_2$ to the low-temperature reservoir, find the efficiency of the engine.

Correct A. $ \eta = \frac{Q_1 - Q_2}{Q_1} $

B. $ \eta = \frac{Q_1}{Q_1 - Q_2} $

C. $ \eta = \frac{Q_2}{Q_1 - Q_2} $

D. $ \eta = \frac{Q_1 + Q_2}{Q_1} $

Correct Answer: A

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Question 5

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source with frequency $f$, find the impedance of the circuit.

Correct A. $ Z = R + j\omega L - \frac{j}{\omega C} $

B. $ Z = R + j\omega L + \frac{j}{\omega C} $

C. $ Z = R - j\omega L + \frac{j}{\omega C} $

D. $ Z = R - j\omega L - \frac{j}{\omega C} $

Correct Answer: A

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Question 6

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 10 days?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 7

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is its maximum speed?

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 8

A convex lens has a focal length of 20 cm. If an object is placed 30 cm in front of the lens, what is the magnification of the image formed?

A. -1

Correct B. -0.5

C. -0.25

D. -0.1

Correct Answer: B

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Question 9

A particle moves in a circular path with a radius of 2 m. If it completes one revolution in 4 s, what is its angular velocity?

A. 0.5 rad/s

B. 1 rad/s

Correct C. 2 rad/s

D. 4 rad/s

Correct Answer: C

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Question 10

A capacitor consists of two parallel plates, each with an area of 0.01 m^2. If the dis\tance between the plates is 0.001 m and the dielectric cons\tant is 2, what is the capaci\tance?

A. 10 nF

B. 20 nF

Correct C. 50 nF

D. 100 nF

Correct Answer: C

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Question 11

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 12

A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is 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 13

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?

A. 1 s

Correct B. 2 s

C. 3 s

D. 4 s

Correct Answer: B

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Question 14

A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 2 atm. If the gas undergoes an isothermal process, what is the work done by the gas?

A. 200 J

B. 400 J

Correct C. 600 J

D. 800 J

Correct Answer: C

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Question 15

A wave with a frequency of 100 Hz and a wavelength of 0.1 m is traveling through a medium. If the wave has a speed of 50 m/s, what is the amplitude of the wave?

Correct A. 0.01 m

B. 0.02 m

C. 0.03 m

D. 0.04 m

Correct Answer: A

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Question 16

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. $\sqrt{100} \text{ rad/s}$

B. $\sqrt{50} \text{ rad/s}$

C. $\sqrt{200} \text{ rad/s}$

D. $\sqrt{500} \text{ rad/s}$

Correct Answer: A

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Question 17

A body of mass 10 kg is moving in a circular path of radius 5 m with a cons\tant speed of 20 m/s. What is the magnitude of the force acting on the body?

A. 100 N

Correct B. 200 N

C. 50 N

D. 500 N

Correct Answer: B

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Question 18

A wave has a frequency of 50 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 25 m/s

Correct B. 50 m/s

C. 100 m/s

D. 200 m/s

Correct Answer: B

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Question 19

A particle of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. It experiences a force of 20 N due to friction. What is the acceleration of the particle?

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 20

A block of mass 2 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?

A. 5 m/s^2

Correct B. 10 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 21

A solid sphere of radius $R$ is made of a material with density $\rho$. If the sphere is placed in a fluid of density $sigma$, what is the magnitude of the buoyant force acting on the sphere?

A. $ \frac{4}{3} pi R^3 \rho g $

Correct B. $ \frac{4}{3} pi R^3 sigma g $

C. $ \frac{2}{3} pi R^3 \rho g $

D. $ \frac{2}{3} pi R^3 sigma g $

Correct Answer: B

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Question 22

A parallel plate capacitor has plates of area $A$ and separation $d$. If a potential difference of $V$ is applied across the capacitor, what is the capaci\tance?

Correct A. $ \frac{epsilon_0 A}{d} $

B. $ \frac{epsilon_0 A}{V} $

C. $ \frac{A}{epsilon_0 d} $

D. $ \frac{V}{epsilon_0 A} $

Correct Answer: A

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Question 23

A magnetic field is produced by a current-carrying wire. If the current is increased by a factor of 2, what happens to the magnetic field?

A. It decreases by a factor of 2

Correct B. It increases by a factor of 2

C. It remains the same

D. It becomes zero

Correct Answer: B

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Question 24

A nucleus has a mass number of 238 and an atomic number of 92. What is the number of protons in the nucleus?

Correct A. 92

B. 238

C. 146

D. 0

Correct Answer: A

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Question 25

A system is in thermal equilibrium with its surroundings. If the temperature of the surroundings is increased by 10°C, what happens to the entropy of the system?

A. It decreases

Correct B. It increases

C. It remains the same

D. It becomes zero

Correct Answer: B

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