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POST UTME FUTA 2023 Physics | Objective

Are you preparing for POST UTME FUTA 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.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's velocity is $v$, what is the magnitude of the force acting on it?

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

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

C. \frac{mv^2}{r^3}

D. \frac{mv^2}{r^4}

Correct Answer: A

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Question 2

A block of mass $M$ is placed on a frictionless surface and connected to a spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released, what is the maximum speed of the block?

Correct A. \sqrt{\frac{kx^2}{M}}

B. \sqrt{\frac{kx}{M}}

C. \sqrt{\frac{k}{Mx}}

D. \sqrt{\frac{Mx^2}{k}}

Correct Answer: A

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Question 3

A particle of mass $m$ is in a one-dimensional box of length $L$. If the particle is in the ground state, what is its energy?

Correct A. \frac{h^2}{8mL^2}

B. \frac{h^2}{4mL^2}

C. \frac{h^2}{2mL^2}

D. \frac{h^2}{mL^2}

Correct Answer: A

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Question 4

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an AC source with angular frequency $\omega$, what is the impedance of the circuit?

Correct A. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

C. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $}

D. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $}

Correct Answer: A

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Question 5

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $x$ from the origin, what is the initial velocity?

Correct A. \sqrt{\frac{gx^2}{2v_0^2\sin^2\theta}}

B. \sqrt{\frac{gx^2}{v_0^2\sin^2\theta}}

C. \sqrt{\frac{v_0^2\sin^2\theta}{gx^2}}

D. \sqrt{\frac{v_0^2\cos^2\theta}{gx^2}}

Correct Answer: A

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Question 6

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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net 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 7

A simple harmonic motion has a maximum displacement of 5 cm and a period of 2 s. If the motion starts from its equilibrium position, what is the equation of motion?

Correct A. x(t) = 5\sin$ \pi t $

B. x(t) = 5\sin$ 2\pi t $

C. x(t) = 5\sin$ \pi t/2 $

D. x(t) = 5\sin$ 2\pi t/2 $

Correct Answer: A

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Question 8

A magnetic field of 0.5 T is directed along the z-axis. A current of 2 A flows in a wire loop of radius 0.1 m. What is the magnitude of the magnetic moment of the loop?

A. 0.1 A m^2

Correct B. 0.2 A m^2

C. 0.3 A m^2

D. 0.4 A m^2

Correct Answer: B

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Question 9

A 100 V AC source is connected to a 50 Ω resistor. If the current is 2 A, what is the power consumed by the resistor?

A. 200 W

Correct B. 250 W

C. 300 W

D. 350 W

Correct Answer: B

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Question 10

A liquid of density 1000 kg/m^3 is in a container of height 0.5 m. If the pressure at the bottom of the container is 100 kPa, what is the pressure at the top of the container?

Correct A. 50 kPa

B. 75 kPa

C. 90 kPa

D. 100 kPa

Correct Answer: A

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Question 11

A 2.5 V battery is connected in series with a 5 ohm resistor and a 10 ohm resistor. What is the total resis\tance in the circuit?

A. 3 ohms

B. 4 ohms

Correct C. 6 ohms

D. 8 ohms

Correct Answer: C

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Question 12

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 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

A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?

A. 0.4 A

Correct B. 0.5 A

C. 0.6 A

D. 0.7 A

Correct Answer: B

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Question 14

A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?

A. 500 m/s

Correct B. 1000 m/s

C. 1500 m/s

D. 2000 m/s

Correct Answer: B

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Question 15

A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.5 m from its equilibrium position and released from rest. What is the maximum speed of the block?

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 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 capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is 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 18

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 10 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is 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

A gas is contained in a cylinder of volume 10 L at a pressure of 2 atm. If the temperature of the gas is increased by 20°C, what is the new pressure of the gas?

A. 2.5 atm

B. 3 atm

Correct C. 3.5 atm

D. 4 atm

Correct Answer: C

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Question 20

A particle of mass 3 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?

A. 3 m/s^2

B. 4 m/s^2

Correct C. 5 m/s^2

D. 6 m/s^2

Correct Answer: C

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Question 21

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1.5 atm, what is the final pressure?

A. 2.25 atm

Correct B. 3.0 atm

C. 4.0 atm

D. 6.0 atm

Correct Answer: B

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Question 22

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. What is the magnitude of the net force acting on the particle?

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 23

A heat engine operates between the temperatures 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. 0.25

B. 0.33

Correct C. 0.5

D. 0.67

Correct Answer: C

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Question 24

A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 25

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

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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