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POST UTME UNIOSUN 2017 Physics | Objective

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Question 1

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's velocity is 4 m/s, what is its angular velocity?

Correct A. $ \frac{4}{3} $ rad/s

B. $ \frac{3}{4} $ rad/s

C. $ \frac{4}{3} $ rad/s

D. $ \frac{3}{4} $ rad/s

Correct Answer: A

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Question 2

A block of mass 5 kg is placed on a frictionless surface. A force of 10 N is applied to the block. What is the acceleration of the block?

Correct A. $ \frac{10}{5} $ m/s^2

B. $ \frac{5}{10} $ m/s^2

C. $ \frac{10}{5} $ m/s^2

D. $ \frac{5}{10} $ m/s^2

Correct Answer: A

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Question 3

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is its speed?

Correct A. $ 20 \times 0.5 $ m/s

B. $ 0.5 \times 20 $ m/s

C. $ 20 \times 0.5 $ m/s

D. $ 0.5 \times 20 $ m/s

Correct Answer: A

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Question 4

A particle of mass 3 kg is moving in a circular path with a radius of 2 m. If the particle's velocity is 6 m/s, what is its angular velocity?

Correct A. $ \frac{6}{2} $ rad/s

B. $ \frac{2}{6} $ rad/s

C. $ \frac{6}{2} $ rad/s

D. $ \frac{2}{6} $ rad/s

Correct Answer: A

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Question 5

A block of mass 4 kg is placed on a frictionless surface. A force of 15 N is applied to the block. What is the acceleration of the block?

Correct A. $ \frac{15}{4} $ m/s^2

B. $ \frac{4}{15} $ m/s^2

C. $ \frac{15}{4} $ m/s^2

D. $ \frac{4}{15} $ m/s^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 is subjected to a centripetal force of 12 N, what is the angular velocity of the particle?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 7

A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

Correct A. 2.5 μF

B. 5 μF

C. 10 μF

D. 20 μF

Correct Answer: A

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Question 8

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 9

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity after 20 minutes?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 10

A sound wave has a frequency of 200 Hz and a speed of 340 m/s. What is the wavelength of the wave?

Correct A. 1.7 m

B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: A

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Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the expectation value of the position operator for this particle?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{n}

Correct Answer: A

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Question 12

A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the frequency of the reflected wave?

A. f

Correct B. 2f

C. f/2

D. f+v

Correct Answer: B

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Question 13

A beam of light is pas\sing through a prism. If the angle of incidence is $i$ and the angle of re\fraction is $r$, what is the angle of deviation?

Correct A. i-r

B. i+r

C. i-r

D. i+r

Correct Answer: A

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Question 14

A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the resulting nucleus?

A. A-1,Z+1

Correct B. A+1,Z-1

C. A,Z

D. A,Z+1

Correct Answer: B

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Question 15

A gas is heated from $T_1$ to $T_2$. If the initial volume is $V_1$ and the final volume is $V_2$, what is the ratio of the final pressure to the initial pressure?

A. \frac{V_2}{V_1}

Correct B. \frac{P_2}{P_1}

C. \frac{T_2}{T_1}

D. \frac{P_1V_1}{P_2V_2}

Correct Answer: B

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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. What is the magnitude of the centripetal acceleration of the particle?

A. 12 m/s^2

Correct B. 16 m/s^2

C. 20 m/s^2

D. 24 m/s^2

Correct Answer: B

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Question 17

A 10 μF capacitor is connected in series with a 5 kΩ resistor and a 9 V battery. What is the time cons\tant of the circuit?

A. 0.5 s

Correct B. 1 s

C. 2 s

D. 5 s

Correct Answer: B

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Question 18

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° 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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Question 19

A 100 μC charge is moving at a speed of 2 m/s in a circular path of radius 5 m. What is the magnitude of the magnetic field at the center of the circle?

A. 0.1 T

B. 0.2 T

Correct C. 0.5 T

D. 1 T

Correct Answer: C

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Question 20

A 5 Ω resistor is connected in parallel with a 10 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 2.5 Ω

Correct B. 3.3 Ω

C. 4.5 Ω

D. 5.6 Ω

Correct Answer: B

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Question 21

A 1000 Ω resistor is connected in series with a 2000 Ω resistor and a 20 V battery. U\sing Kirchhoff's Voltage Law, calculate the current flowing through the 1000 Ω resistor.

A. 0.01 A

Correct B. 0.02 A

C. 0.03 A

D. 0.04 A

Correct Answer: B

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Question 22

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm and a temperature of 300 K. Calculate the new volume if the pressure is doubled and the temperature is tripled.

A. 5.0 L

Correct B. 6.25 L

C. 7.5 L

D. 10.0 L

Correct Answer: B

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Question 23

A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m and a speed of 4 m/s. Calculate the centripetal force acting on the particle.

A. 1.0 N

B. 2.0 N

Correct C. 4.0 N

D. 6.0 N

Correct Answer: C

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Question 24

A 100 W light bulb is connected to a 120 V power source. Calculate the current flowing through the bulb.

A. 0.8 A

Correct B. 1.0 A

C. 1.2 A

D. 1.5 A

Correct Answer: B

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Question 25

A 10 mH inductor is connected in series with a 20 μF capacitor and a 100 Hz AC source. 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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