Practice Post UTME MOUNTAIN TOP UNIVERSITY physics 2019 Past Questions

Question 1

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a magnetic field $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{qr}

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

C. \frac{m^2v}{qr}

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

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

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 of frequency $f$, 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} $^2}

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

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

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

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

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

C. \frac{h^2}{16mL^2}

D. \frac{h^2}{32mL^2}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the maximum speed of the block?

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

B. \sqrt{\frac{mx^2}{k}}

C. \sqrt{\frac{k^2x^2}{m}}

D. \sqrt{\frac{m^2x^2}{k}}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

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

Correct A. \sqrt{\frac{Rg}{\sin 2\theta}}

B. \sqrt{\frac{Rg}{\sin \theta}}

C. \sqrt{\frac{Rg}{\cos \theta}}

D. \sqrt{\frac{Rg}{\tan \theta}}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

A 2-pole, 4-wire, star-connected alternator has an induced emf of 220 V per phase. If the line current is 10 A, determine the power factor of the load.

Correct A. 0.8

B. 0.6

C. 0.4

D. 0.2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

A particle of mass 0.5 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the acceleration due to gravity is 9.8 m/s^2, determine the time taken for the particle to reach its maximum height.

A. 1.5 s

Correct B. 2.0 s

C. 2.5 s

D. 3.0 s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

A 100 Ω resistor and a 200 Ω resistor are connected in parallel across a 200 V supply. If the current through the 100 Ω resistor is 2 A, determine the current through the 200 Ω resistor.

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A convex lens of focal length 20 cm forms an image of an object placed 30 cm in front of it. If the object is moved to a dis\tance of 60 cm from the lens, determine the new image dis\tance.

A. 10 cm

B. 20 cm

C. 30 cm

Correct D. 40 cm

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A point charge of 2 μC is placed at the origin. If a second point charge of -3 μC is placed 0.5 m away from the first charge, determine the electric potential at the point midway between the two charges.

A. 100 V

B. 200 V

Correct C. 300 V

D. 400 V

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

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 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

A 50 Hz AC voltage source is connected to a 100 Ω resistor. If the maximum value of the voltage is 200 V, what is the rms value of the current in the circuit?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

A block of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If the block is subjected to a force of 20 N for 2 seconds, what is the final velocity of the block?

A. 12 m/s

B. 15 m/s

Correct C. 18 m/s

D. 20 m/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 seconds. If the motion starts from its equilibrium position, what is the equation of motion?

Correct A. x(t) = 2 \sin$ \frac{\pi}{2}t $

B. x(t) = 2 \sin$ \frac{\pi}{4}t $

C. x(t) = 2 \sin$ \frac{\pi}{8}t $

D. x(t) = 2 \sin$ \frac{\pi}{16}t $

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30 degrees above the horizontal. If the acceleration due to gravity is 10 m/s^2, what is the maximum height reached by the projectile?

A. 5 m

Correct B. 10 m

C. 15 m

D. 20 m

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

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. 1.5 m/s^2

B. 2.0 m/s^2

Correct C. 3.0 m/s^2

D. 4.0 m/s^2

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A radioactive sample decays from 100 g to 50 g in 10 days. If the decay cons\tant is 0.05/day, what is the half-life of the sample?

A. 10 days

Correct B. 20 days

C. 30 days

D. 40 days

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A wave of frequency 50 Hz and amplitude 2 m is traveling through a medium with a speed of 100 m/s. If the wave is reflected from a fixed \end, what is the maximum acceleration of the wave at the fixed \end?

A. 10 m/s^2

B. 20 m/s^2

Correct C. 30 m/s^2

D. 40 m/s^2

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

A 100 V, 50 Hz AC source is connected to a 10 ohm resistor. If the current is 5 A, what is the power factor of the circuit?

A. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. If the motion starts from the equilibrium position, what is the maximum velocity of the motion?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the capacitor.

A. 25 μC

Correct B. 50 μC

C. 100 μC

D. 200 μC

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

A current of 5 A flows through a wire of resis\tance 10 Ω. Calculate the power dissipated in the wire.

Correct A. 25 W

B. 50 W

C. 100 W

D. 200 W

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. Calculate the centripetal force acting on the particle.

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

A 10 μF capacitor is connected in parallel with a 20 μF capacitor. Calculate the equivalent capaci\tance of the circuit.

A. 10 μF

B. 20 μF

Correct C. 30 μF

D. 40 μF

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

POST UTME MOUNTAIN TOP UNIVERSITY 2019 Physics | Objective

Master the Exam!

Help others prepare! Share this practice hub: