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POST UTME KSU 2022 Physics | Objective

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Question 1 View Details

In a series RLC circuit, the impedance is given by $ Z = \sqrt{R^2 + \( X_L - X_C \ $^2} ). If the resis\tance is 10 Ω, the inductive reac\tance is 20 Ω, and the capacitive reac\tance is 15 Ω, what is the impedance of the circuit?

A. 25 Ω

Correct B. 30 Ω

C. 35 Ω

D. 40 Ω

Correct Answer: B

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Question 2 View Details

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on the plates?

A. 0.2 C

Correct B. 0.4 C

C. 0.6 C

D. 0.8 C

Correct Answer: B

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Question 3 View Details

A radioactivity experiment involves the decay of a sample of uranium-238. If the half-life of uranium-238 is 4.5 billion years, how many half-lives will have passed if the sample has decayed to 1/64 of its original mass?

A. 3 half-lives

B. 4 half-lives

C. 5 half-lives

Correct D. 6 half-lives

Correct Answer: D

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Question 4 View Details

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?

A. 1.7 m

B. 1.8 m

C. 1.9 m

Correct D. 2.0 m

Correct Answer: D

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Question 5 View Details

A circuit consists of a 10 Ω resistor, a 20 Ω inductor, and a 15 Ω capacitor connected in series. If a potential difference of 20 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

B. 0.6 A

C. 0.7 A

Correct D. 0.8 A

Correct Answer: D

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Question 6 View Details

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. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 7 View Details

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in a medium with a speed of 100 m/s, what is the amplitude of the wave?

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 8 View Details

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

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 9 View Details

A spring has a spring cons\tant of 100 N/m. If a 2 kg mass is attached to the spring and stretched by 0.5 m, what is the potential energy stored in the spring?

A. 25 J

B. 50 J

C. 75 J

Correct D. 100 J

Correct Answer: D

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Question 10 View Details

A gas has a pressure of 100 kPa and a volume of 0.5 m^3. If the temperature of the gas is increased by 20°C, what is the new volume of the gas?

A. 0.6 m^3

B. 0.7 m^3

Correct C. 0.8 m^3

D. 0.9 m^3

Correct Answer: C

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Question 11 View Details

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 $0 < x < \frac{L}{4}$?

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 12 View Details

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 force on the particle?

A. $ \frac{mv^2}{r} $

B. $ \frac{mv}{r} $

Correct C. $ \frac{mvr}{B} $

D. $ \frac{Bmv}{r} $

Correct Answer: C

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Question 13 View Details

A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?

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

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

C. $ \frac{V}{A} $

D. $ \frac{d}{A} $

Correct Answer: A

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Question 14 View Details

A simple harmonic motion has a period $T$ and an amplitude $A$. What is the angular frequency of the motion?

Correct A. $ \frac{2pi}{T} $

B. $ \frac{T}{2pi} $

C. $ \frac{A}{T} $

D. $ \frac{T}{A} $

Correct Answer: A

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Question 15 View Details

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. What is the maximum height reached by the projectile?

Correct A. $ \frac{v_0^2 \sin^2 \theta}{2g} $

B. $ \frac{v_0^2 \cos^2 \theta}{2g} $

C. $ \frac{v_0^2 \sin \theta}{2g} $

D. $ \frac{v_0^2 \cos \theta}{2g} $

Correct Answer: A

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Question 16 View Details

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 12 V battery. If the inductor is initially at rest, what is the current in the circuit after 5 ms?

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 17 View Details

A 100 W bulb is connected to a 220 V AC supply. If the bulb is rated for 1000 hours of operation, what is the total energy consumed by the bulb in kWh?

A. 1.0 kWh

Correct B. 2.0 kWh

C. 3.0 kWh

D. 4.0 kWh

Correct Answer: B

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Question 18 View Details

A 5 kg block of ice is placed in a 10°C water bath. If the specific heat capacity of ice is 2.05 kJ/kg°C, what is the time taken for the ice to melt completely?

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 19 View Details

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current in the circuit?

A. 0.5 A

B. 1.0 A

Correct C. 1.5 A

D. 2.0 A

Correct Answer: C

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Question 20 View Details

A 1000 μF capacitor is connected in parallel with a 2000 μF capacitor. If a 12 V battery is connected across the circuit, what is the equivalent capaci\tance?

A. 1000 μF

B. 2000 μF

Correct C. 3000 μF

D. 4000 μF

Correct Answer: C

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Question 21 View Details

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 0.2 m from its equilibrium position and released from rest, determine the maximum speed of the particle as it passes through the equilibrium position.

A. 0.2 m/s

Correct B. 2 m/s

C. 4 m/s

D. 6 m/s

Correct Answer: B

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Question 22 View Details

A wave with a frequency of 50 Hz and an amplitude of 0.05 m is traveling along a string. If the wave is reflected from a fixed \end, determine the amplitude of the reflected wave.

A. 0.01 m

B. 0.02 m

Correct C. 0.03 m

D. 0.04 m

Correct Answer: C

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Question 23 View Details

A force of 10 N is applied to an object of mass 5 kg, cau\sing it to accelerate at 2 m/s^2. Determine the work done by the force in moving the object a dis\tance of 3 m.

A. 15 J

Correct B. 20 J

C. 25 J

D. 30 J

Correct Answer: B

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Question 24 View Details

A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle is moving at a speed of 4 m/s, determine 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 25 View Details

A wave with a frequency of 100 Hz and an amplitude of 0.1 m is traveling along a string. If the wave is reflected from a free \end, determine the amplitude of the reflected wave.

A. 0.02 m

Correct B. 0.04 m

C. 0.06 m

D. 0.08 m

Correct Answer: B

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