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POST UTME BOWEN UNIVERSITY 2017 Physics | Objective

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Question 1 View Details

A parallel plate capacitor has plates of area 0.02 m^2 and separation 0.005 m. If the capaci\tance is 5.0 nF, what is the value of the dielectric cons\tant?

A. 1.0

Correct B. 2.0

C. 3.0

D. 4.0

Correct Answer: B

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Question 2 View Details

A gas at 300 K expands from 1.0 L to 2.0 L against a cons\tant external pressure of 1.0 atm. What is the work done by the gas?

A. -1.0 J

B. 0.0 J

Correct C. 1.0 J

D. 2.0 J

Correct Answer: C

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Question 3 View Details

A circuit consists of a 12 V battery, a 4 ohm resistor, and a 6 ohm resistor connected in series. What is the current flowing through the 4 ohm resistor?

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 4 View Details

A projectile is launched at an angle of 60 degrees above the horizontal with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?

A. 10.0 m

B. 15.0 m

Correct C. 20.0 m

D. 25.0 m

Correct Answer: C

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Question 5 View Details

A magnetic field is produced by a current-carrying wire. If the current is 2.0 A and the length of the wire is 0.5 m, what is the magnetic field strength at a dis\tance of 0.2 m from the wire?

A. 0.01 T

B. 0.02 T

Correct C. 0.03 T

D. 0.04 T

Correct Answer: C

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Question 6 View Details

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 7 View Details

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate 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 8 View Details

A 100 W bulb is connected to a 230 V AC source. If the power factor of the bulb is 0.8, calculate the current drawn by the bulb.

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 9 View Details

A wave of frequency 100 Hz and wavelength 2 m is traveling through a medium. If the speed of the wave is 300 m/s, calculate the amplitude of the wave.

A. 0.1 m

B. 0.2 m

C. 0.3 m

Correct D. 0.4 m

Correct Answer: D

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Question 10 View Details

A particle of mass 0.2 kg is moving in a circular path of radius 1 m with a speed of 3 m/s. If the particle is subject to a centripetal force of 5 N, calculate the kinetic energy of the particle.

A. 1 J

B. 2 J

Correct C. 3 J

D. 4 J

Correct Answer: C

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Question 11 View Details

A 2.5 m long wire of resis\tance 3.5 Ω is connected in series with a 9 V battery. If the current flowing through the wire is 0.5 A, what is the potential difference across the wire?

A. 2.25 V

Correct B. 3.5 V

C. 4.5 V

D. 6.75 V

Correct Answer: B

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Question 12 View Details

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 2 N

B. 4 N

Correct C. 6 N

D. 8 N

Correct Answer: C

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Question 13 View Details

A 1000 W electric heater is connected to a 220 V power supply. If the resis\tance of the heater is 10 Ω, what is the current flowing through the heater?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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Question 14 View Details

A 5 kg block is moving with a velocity of 10 m/s. If the block is brought to rest in 2 s, what is the magnitude of the force acting on the block?

A. 5 N

B. 10 N

Correct C. 20 N

D. 50 N

Correct Answer: C

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Question 15 View Details

A 2 m long wire of resis\tance 2 Ω is connected in series with a 6 V battery. If the current flowing through the wire is 1 A, what is the potential difference across the wire?

A. 2 V

B. 3 V

C. 4 V

Correct D. 6 V

Correct Answer: D

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Question 16 View Details

A particle of mass m is confined to a one-dimensional box of length L. The wave function of the particle is given by ψ(x) = √\( 2/L \) * \sin\( nπx/L \), where n is a positive integer. What is the expectation value of the position operator x?

Correct A. L/2

B. nπL/2

C. nπL/2 + L/2

D. nπL/2 - L/2

Correct Answer: A

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Question 17 View Details

A magnetic field B is directed along the z-axis. A current I flows through a wire loop of radius r, placed in the x-y plane. What is the magnetic flux Φ through the loop?

Correct A. Bπr^2

B. Bπr^2 \cos(θ)

C. Bπr^2 \sin(θ)

D. Bπr^2 \tan(θ)

Correct Answer: A

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Question 18 View Details

A capacitor C is connected to a battery of voltage V. The capacitor is initially uncharged. What is the charge Q on the capacitor after a time t?

A. CV

Correct B. CV\( 1 - e^{-t/RC} \)

C. CV\( 1 + e^{-t/RC} \)

D. CV\( 1 - e^{t/RC} \)

Correct Answer: B

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Question 19 View Details

A radioactive sample decays with a half-life of T1/2. What is the activity A of the sample after a time t?

Correct A. A0 e^{-λt}

B. A0 e^{λt}

C. A0 + λt

D. A0 - λt

Correct Answer: A

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Question 20 View Details

A particle of mass m is moving in a circular orbit of radius r with a speed v. What is the centripetal force F_c acting on the particle?

Correct A. \( m v^2 \) / r

B. m v^2

C. m v^3

D. m v^4

Correct Answer: A

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Question 21 View Details

A block of mass 5 kg is attached to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block as it passes through the equilibrium position.

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 22 View Details

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, calculate the activity of the sample after 30 minutes.

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 23 View Details

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. Calculate the current flowing through the circuit.

A. 0.25 A

Correct B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: B

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Question 24 View Details

A 100 V AC source is connected in series with a 20 Ω resistor and a 10 μF capacitor. Calculate the impedance of the circuit.

A. 20 Ω

B. 22 Ω

Correct C. 24 Ω

D. 26 Ω

Correct Answer: C

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Question 25 View Details

A 5 μF capacitor is connected in parallel with a 10 μF capacitor. Calculate the equivalent capaci\tance of the circuit.

A. 5 μF

B. 10 μF

Correct C. 15 μF

D. 20 μF

Correct Answer: C

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