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POST UTME ABU 2017 Physics | Objective

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Question 1

A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the block.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 2

A particle of mass 5 kg is moving in a circular path with a radius of 3 m. The particle is subject to a centripetal force of 20 N. Calculate the speed of the particle.

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 3

A 10 μC charge is placed at the center of a circular loop of radius 0.5 m. Calculate the electric field at a point on the loop 0.2 m from the center.

A. 10 N/C

Correct B. 20 N/C

C. 30 N/C

D. 40 N/C

Correct Answer: B

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Question 4

A 1000 kg car is traveling at 20 m/s when the brakes are applied. Assuming a cons\tant deceleration of 2 m/s^2, calculate the time it takes for the car to come to a stop.

A. 5 s

Correct B. 10 s

C. 15 s

D. 20 s

Correct Answer: B

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Question 5

A 0.5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the period of the block.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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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 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

A 10 V battery is connected in series with a 5 Ω resistor and a 2 Ω resistor. What is the current flowing through the circuit?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 3 A

Correct Answer: B

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Question 8

A wave has a frequency of 50 Hz and a wavelength of 0.1 m. What is the speed of the wave?

A. 5 m/s

B. 10 m/s

Correct C. 20 m/s

D. 50 m/s

Correct Answer: C

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Question 9

A particle of mass 1 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. 1 m/s^2

B. 2 m/s^2

Correct C. 5 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 10

A 100 V battery is connected in parallel with a 10 Ω resistor and a 20 Ω resistor. What is the current flowing through the 10 Ω resistor?

A. 5 A

Correct B. 10 A

C. 15 A

D. 20 A

Correct Answer: B

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Question 11

A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following statements is true about the behavior of the gas?

Correct A. The gas expands to fill the container.

B. The gas contracts to occupy less space.

C. The gas remains at cons\tant pressure.

D. The gas undergoes a phase transition.

Correct Answer: A

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Question 12

A sound wave with a frequency of 200 Hz is emitted from a source. If the speed of sound in air is 343 m/s, what is the wavelength of the sound wave?

Correct A. 1.71 m

B. 0.171 m

C. 17.1 m

D. 171 m

Correct Answer: A

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Question 13

A magnetic field is produced by a current-carrying wire. If the current in the wire is increased by a factor of 5, what happens to the magnetic field?

Correct A. The magnetic field increases by a factor of 5.

B. The magnetic field decreases by a factor of 5.

C. The magnetic field remains unchanged.

D. The magnetic field becomes zero.

Correct Answer: A

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Question 14

A particle is confined to a one-dimensional box of length 1.0 m. If the particle has a mass of 9.11 x 10^-31 kg, what is the energy of the particle?

Correct A. 1.56 x 10^-36 J

B. 1.56 x 10^-34 J

C. 1.56 x 10^-32 J

D. 1.56 x 10^-30 J

Correct Answer: A

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Question 15

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 20 years?

A. 500 Bq

B. 250 Bq

C. 125 Bq

Correct D. 62.5 Bq

Correct Answer: D

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Question 16

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 added to the system?

A. 150 J

Correct B. 200 J

C. 250 J

D. 300 J

Correct Answer: B

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Question 17

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's speed is 4 m/s, what is the magnitude of 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 18

A nucleus of mass number 238 and atomic number 92 undergoes \alpha decay. What is the mass number of the daughter nucleus?

Correct A. 234

B. 236

C. 238

D. 240

Correct Answer: A

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Question 19

A gas is contained in a cylinder of volume 2 m^3 at a pressure of 100 kPa. If the temperature of the gas is increased by 20 K, what is the new pressure of the gas?

A. 120 kPa

B. 140 kPa

Correct C. 160 kPa

D. 180 kPa

Correct Answer: C

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Question 20

A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. If the charge on each plate is 10 μC, what is the capaci\tance of the capacitor?

A. 5 μF

Correct B. 10 μF

C. 15 μF

D. 20 μF

Correct Answer: B

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Question 21

A uniform solid sphere of radius $R$ and mass $M$ is placed at the bottom of a frictionless inclined plane of angle $\theta$. If the sphere starts rolling without slipping, find its acceleration $a$ in terms of $g$ and $\theta$.

Correct A. \frac{g \sin \theta}{1 + \frac{2}{5} \frac{1}{\tan^2 \theta}}

B. \frac{g \sin \theta}{1 + \frac{1}{5} \frac{1}{\tan^2 \theta}}

C. \frac{g \sin \theta}{1 + \frac{3}{5} \frac{1}{\tan^2 \theta}}

D. \frac{g \sin \theta}{1 + \frac{4}{5} \frac{1}{\tan^2 \theta}}

Correct Answer: A

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Question 22

A radioactive sample has a half-life of $T_{1/2}$. If the initial activity is $A_0$, find the activity $A$ after time $t$.

Correct A. A_0 e^{-\frac{t}{T_{1/2}}}

B. A_0 e^{\frac{t}{T_{1/2}}}

C. A_0 \left$ 1 - \frac{t}{T_{1/2}}\right $

D. A_0 \left$ 1 + \frac{t}{T_{1/2}}\right $

Correct Answer: A

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Question 23

A s\tanding wave is formed by two waves of equal amplitude and frequency, traveling in opposite directions. If the wavelength of each wave is $\lambda$, find the wavelength of the s\tanding wave.

Correct A. \frac{\lambda}{2}

B. \lambda

C. 2\lambda

D. 3\lambda

Correct Answer: A

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Question 24

A particle of mass $m$ is moving in a circular orbit of radius $r$ with speed $v$. If the particle is subject to a centripetal force $F_c$, find the magnitude of the force.

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

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

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

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

Correct Answer: A

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Question 25

A photon of energy $E$ is incident on a surface. If the surface reflects $\frac{1}{3}$ of the incident energy, find the energy of the reflected photon.

Correct A. \frac{E}{3}

B. \frac{2E}{3}

C. \frac{3E}{4}

D. \frac{4E}{5}

Correct Answer: A

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