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POST UTME RHEMA UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME RHEMA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A 2.5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the specific heat capacity of water is 4186 J/(kg°C), calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 2

A 50 kg person is s\tanding on a spring scale in an elevator. If the elevator accelerates upward at 2 m/s², what is the reading on the spring scale?

A. 50 kg

Correct B. 55 kg

C. 60 kg

D. 65 kg

Correct Answer: B

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Question 3

A gas is contained in a cylinder with a movable piston. The gas is heated, cau\sing the piston to move upward. If the initial volume of the gas is 2.0 L and the final volume is 4.0 L, and the temperature increases from 20°C to 40°C, what is the work done by the gas?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 4

A 5.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2.0 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 2.0 m/s

B. 4.0 m/s

Correct C. 6.0 m/s

D. 8.0 m/s

Correct Answer: C

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Question 5

A sound wave with a frequency of 200 Hz and a wavelength of 1.5 m is traveling through a medium. If the speed of the wave is 300 m/s, what is the amplitude of the wave?

A. 0.01 m

Correct B. 0.02 m

C. 0.03 m

D. 0.04 m

Correct Answer: B

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Question 6

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 7

A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor $R$. The current in the circuit is 2 A. Find the value of $R$.

A. 2 Ω

B. 4 Ω

Correct C. 6 Ω

D. 8 Ω

Correct Answer: C

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Question 8

A capacitor of capaci\tance $C$ is connected to a battery of voltage $V$. Find the charge $Q$ stored on the capacitor.

Correct A. CV

B. \frac{CV}{2}

C. \frac{V}{C}

D. \frac{2CV}{3}

Correct Answer: A

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Question 9

A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. Find the time $t$ it takes for the projectile to reach its maximum height.

Correct A. \frac{v_0 \sin \theta}{g}

B. \frac{v_0 \cos \theta}{g}

C. \frac{v_0 \sin \theta}{2g}

D. \frac{v_0 \cos \theta}{2g}

Correct Answer: A

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Question 10

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. Find the magnitude of the force $F$ exerted on the particle by the centripetal force.

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

B. \frac{mr^2}{v^2}

C. \frac{v^2}{mr}

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

Correct Answer: A

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Question 11

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area is doubled and the separation is halved, what is the new capaci\tance?

A. 4C

Correct B. 2C

C. C/2

D. C

Correct Answer: B

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Question 12

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The force acting on the particle is given by $F = \frac{mv^2}{r}$. If the speed is doubled, what is the new force?

Correct A. 4F

B. 2F

C. F/2

D. F

Correct Answer: A

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Question 13

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The impedance of the circuit is given by $Z = \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}$. If the frequency is doubled, what is the new impedance?

A. 2Z

Correct B. Z/2

C. Z

D. 4Z

Correct Answer: B

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Question 14

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

Correct A. A_0 \left$ \frac{1}{2} \right $^{t/T_{1/2}}

B. A_0 \left$ \frac{1}{2} \right $^{T_{1/2}/t}

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

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

Correct Answer: A

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Question 15

A simple harmonic motion has a frequency of $f$ and an amplitude of $A$. If the time period is doubled, what is the new amplitude?

A. A/2

B. A

C. 2A

Correct D. A \left$ \frac{1}{2} \right $^{1/2}

Correct Answer: D

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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 parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?

A. 6 μF

B. 7 μF

Correct C. 8 μF

D. 9 μF

Correct Answer: C

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Question 18

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 hours, what is the activity of the sample after 4 hours?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 19

A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 20%

Correct B. 30%

C. 40%

D. 50%

Correct Answer: B

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Question 20

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 21

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V AC source. If the frequency of the AC source is 50 Hz, what is the impedance of the circuit?

A. 20 Ω

B. 40 Ω

Correct C. 60 Ω

D. 80 Ω

Correct Answer: C

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Question 22

A beam of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 23

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

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 24

A 5 mH inductor is connected in series with a 10 Ω resistor and a 120 V AC source. If the frequency of the AC source is 60 Hz, what is the inductive reac\tance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 25

A convex lens of focal length 20 cm forms an image of an object placed 30 cm away. What is the magnification of the image?

A. 0.5

Correct B. 1

C. 2

D. 3

Correct Answer: B

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