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POST UTME BABCOCK UNIVERSITY 2023 Physics | Objective

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Question 1 View Details

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?

Correct A. \frac{v^2}{r}

B. \frac{mv^2}{r^2}

C. \frac{mv^2}{r}

D. \frac{v^3}{r}

Correct Answer: A

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Question 2 View Details

A wave with a frequency of 50 Hz and an amplitude of 2 m is traveling through a medium with a speed of 300 m/s. If the wave is reflected off a fixed \end, what is the maximum displacement of the wave at the fixed \end?

Correct A. 0 m

B. 2 m

C. 4 m

D. 6 m

Correct Answer: A

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Question 3 View Details

A capacitor consists of two parallel plates, each with an area of 0.01 m^2 and separated by a dis\tance of 0.001 m. If the plates are charged to a potential difference of 10 V, what is the capaci\tance of the capacitor?

A. 0.01 F

Correct B. 0.001 F

C. 0.0001 F

D. 0.00001 F

Correct Answer: B

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Question 4 View Details

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

B. 2 s

Correct C. 3 s

D. 4 s

Correct Answer: C

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Question 5 View Details

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. If the wave is reflected off a fixed \end, what is the maximum displacement of the wave at the fixed \end?

Correct A. 0 m

B. 0.5 m

C. 1 m

D. 1.5 m

Correct Answer: A

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Question 6 View Details

A thermodynamic system undergoes a process from state A to state B. If the system's internal energy increases by 100 J and the work done on the system is 50 J, what is the heat transferred to the system in kJ?

A. 0.05 kJ

Correct B. 0.1 kJ

C. 0.15 kJ

D. 0.2 kJ

Correct Answer: B

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Question 7 View Details

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 15 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?

A. 0.75 A

B. 1.25 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 8 View Details

A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, what is the magnitude of the acceleration of the particle?

A. 2.5 m/s^2

Correct B. 5 m/s^2

C. 10 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 9 View Details

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the lens?

A. -0.5

Correct B. -1

C. -1.5

D. -2

Correct Answer: B

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Question 10 View Details

A gas is heated from 20°C to 50°C at cons\tant volume. What is the change in the number of moles of the gas?

A. 0.05 mol

Correct B. 0.1 mol

C. 0.15 mol

D. 0.2 mol

Correct Answer: B

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Question 11 View Details

A 50 Hz, 200 V AC source is connected to a 100 Ω resistor. Calculate the rms value of the current flowing through the resistor.

Correct A. 1.41 A

B. 2.83 A

C. 5.66 A

D. 11.32 A

Correct Answer: A

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Question 12 View Details

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle completes one revolution in 2 s, calculate its angular velocity.

A. 3.14 rad/s

Correct B. 6.28 rad/s

C. 9.42 rad/s

D. 12.57 rad/s

Correct Answer: B

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Question 13 View Details

A force of 10 N is applied to an object of mass 5 kg. If the object is moving in a straight line, calculate its acceleration.

A. 0.5 m/s^2

Correct B. 1 m/s^2

C. 2 m/s^2

D. 5 m/s^2

Correct Answer: B

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Question 14 View Details

A 1000 W electric heater is connected to a 230 V AC source. Calculate the current flowing through the heater.

Correct A. 4.35 A

B. 8.7 A

C. 13.19 A

D. 16.48 A

Correct Answer: A

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Question 15 View Details

A 50 kg object is moving in a circular path with a radius of 2 m. If the object completes one revolution in 4 s, calculate its angular velocity.

A. 1.57 rad/s

Correct B. 3.14 rad/s

C. 4.71 rad/s

D. 6.28 rad/s

Correct Answer: B

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Question 16 View Details

A 50 Hz, 200 V AC supply is connected to a series RLC circuit with R = 10 Ω, L = 0.1 H, and C = 10 μF. Calculate the impedance of the circuit.

A. 20 Ω

Correct B. 22 Ω

C. 25 Ω

D. 28 Ω

Correct Answer: B

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Question 17 View Details

A gas at 300 K and 1 atm expands to 2 atm at cons\tant temperature. Calculate the final volume of the gas.

A. 0.5 m^3

Correct B. 1 m^3

C. 2 m^3

D. 4 m^3

Correct Answer: B

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Question 18 View Details

A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.

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 19 View Details

A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. Calculate the wavelength of the sound wave.

A. 1.7 m

Correct B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: B

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Question 20 View Details

A 2 kg block is moving at a speed of 4 m/s on a frictionless surface. Calculate the kinetic energy of the block.

A. 8 J

Correct B. 16 J

C. 24 J

D. 32 J

Correct Answer: B

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Question 21 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. 4 m/s^2

Correct B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: B

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Question 22 View Details

A 10 V battery is connected to a 2 Ω resistor. If the current in the circuit is 2 A, what is the power dissipated in the resistor?

A. 4 W

B. 6 W

Correct C. 8 W

D. 10 W

Correct Answer: C

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Question 23 View Details

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 years?

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 24 View Details

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

A. 100 J

Correct B. 150 J

C. 200 J

D. 250 J

Correct Answer: B

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Question 25 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

A. 4.9 m

Correct B. 5.1 m

C. 6.3 m

D. 7.5 m

Correct Answer: B

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