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POST UTME RHEMA UNIVERSITY 2020 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 2020 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 path of radius $r$ with a cons\tant speed $v$. If the particle experiences a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the force?

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

B. \frac{mv}{r}

C. \frac{m}{r}

D. \frac{v}{r}

Correct Answer: A

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Question 2

A charged particle of mass $m$ and charge $q$ is moving in a magnetic field $B$ with a velocity $v$. If the particle experiences a force $F = qvB$, what is the direction of the force?

Correct A. Perp\endicular to the magnetic field

B. Parallel to the magnetic field

C. At an angle to the magnetic field

D. In the direction of the magnetic field

Correct Answer: A

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Question 3

A simple harmonic motion is described by the equation $x(t) = A \cos$ \omega t + \phi $$, where $A$ is the amplitude, $\omega$ is the angular frequency, and $\phi$ is the phase angle. If the particle is at the equilibrium position at $t = 0$, what is the phase angle?

A. 0

Correct B. \frac{\pi}{2}

C. \pi

D. \frac{3\pi}{2}

Correct Answer: B

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Question 4

A radioactive sample decays according to the equation $N(t) = N_0 e^{-\lambda t}$, where $N_0$ is the initial number of nuclei, $\lambda$ is the decay cons\tant, and $t$ is time. If the sample decays to $\frac{1}{4}$ of its initial value in 10 minutes, what is the decay cons\tant?

Correct A. \frac{1}{10} \text{min}^{-1}

B. \frac{1}{20} \text{min}^{-1}

C. \frac{1}{30} \text{min}^{-1}

D. \frac{1}{40} \text{min}^{-1}

Correct Answer: A

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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 range of the projectile?

Correct A. \frac{v_0^2 \sin$ 2\theta $}{g}

B. \frac{v_0^2 \sin$ \theta $}{g}

C. \frac{v_0^2 \cos$ \theta $}{g}

D. \frac{v_0^2 \sin$ \theta $}{2g}

Correct Answer: A

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Question 6

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, 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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Question 7

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity after 10 years.

A. 10 Bq

B. 20 Bq

C. 30 Bq

Correct D. 40 Bq

Correct Answer: D

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Question 8

A block of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position and released, calculate the maximum velocity of the block.

A. 1 m/s

B. 2 m/s

Correct C. 3 m/s

D. 4 m/s

Correct Answer: C

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Question 9

A 5 Ω resistor is connected in series with a 10 Ω resistor and a 20 Ω resistor. If a 10 V DC source is connected across the circuit, calculate the current flowing through the 5 Ω resistor.

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 10

A 2 m long p\endulum is released from an initial angle of 30°. If the p\endulum is released from rest, calculate the time period of the p\endulum.

A. 1 s

Correct B. 2 s

C. 3 s

D. 4 s

Correct Answer: B

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Question 11

A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current of 5 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. Calculate the magnitude of the magnetic moment of the loop.

Correct A. 0.05 A m^2

B. 0.1 A m^2

C. 0.2 A m^2

D. 0.5 A m^2

Correct Answer: A

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Question 12

A particle of mass 2 kg is moving in a circular orbit of radius 1 m with a speed of 3 m/s. If the particle is subject to a centripetal force of 10 N, calculate the magnitude of the acceleration of the particle.

A. 3 m/s^2

B. 6 m/s^2

Correct C. 9 m/s^2

D. 12 m/s^2

Correct Answer: C

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Question 13

A gas is confined to a cylinder of volume 0.1 m^3 at a temperature of 300 K. If the gas is heated to a temperature of 400 K, calculate the new volume of the gas.

A. 0.2 m^3

B. 0.3 m^3

Correct C. 0.4 m^3

D. 0.5 m^3

Correct Answer: C

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Question 14

A wave has a frequency of 50 Hz and a wavelength of 0.1 m. Calculate the speed of the wave.

A. 5 m/s

Correct B. 10 m/s

C. 20 m/s

D. 50 m/s

Correct Answer: B

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Question 15

A particle of mass 1 kg is moving in a straight line with a speed of 4 m/s. If the particle is subject to a force of 10 N, calculate 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 16

A parallel plate capacitor consists of two plates, each of area $A$ and separation $d$. The space between the plates is filled with a dielectric material of dielectric cons\tant $K$. If a potential difference of $V$ is applied across the plates, calculate the capaci\tance $C$ of the capacitor.

Correct A. C = \frac{KA\epsilon_0}{d}

B. C = \frac{KA\epsilon_0}{d^2}

C. C = \frac{KA}{d}

D. C = \frac{KA\epsilon_0}{d^3}

Correct Answer: A

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Question 17

A beam of light of wavelength $\lambda$ is incident on a \single slit of width $a$. The screen is placed at a dis\tance $D$ from the slit. Calculate the angle $\theta$ at which the first minimum occurs.

Correct A. \sin \theta = \frac{\lambda}{a}

B. \sin \theta = \frac{\lambda}{D}

C. \sin \theta = \frac{a}{D}

D. \sin \theta = \frac{\lambda D}{a}

Correct Answer: A

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Question 18

A coil of wire of radius $r$ and resis\tance $R$ is connected to a battery of emf $\mathcal{E}$ through a switch. Calculate the current $I$ in the coil at time $t$ after the switch is closed.

Correct A. I = \frac{\mathcal{E}}{R}$ 1 - e^{-t/RC} $

B. I = \frac{\mathcal{E}}{R}$ 1 + e^{-t/RC} $

C. I = \frac{\mathcal{E}}{R}$ e^{-t/RC} - 1 $

D. I = \frac{\mathcal{E}}{R}$ e^{t/RC} - 1 $

Correct Answer: A

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Question 19

A sound wave of frequency $f$ and amplitude $A$ is propagating through a medium of density $\rho$ and speed of sound $v$. Calculate the intensity $I$ of the sound wave.

Correct A. I = \frac{1}{2} \rho v A^2

B. I = \frac{1}{2} \rho v^2 A^2

C. I = \frac{1}{2} \rho v A

D. I = \frac{1}{2} \rho v^2 A

Correct Answer: A

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Question 20

A thermodynamic system is in equilibrium at temperature $T$. Calculate the change in entropy $\Delta S$ of the system when it is heated by $\Delta Q$ amount of heat.

Correct A. \Delta S = \frac{\Delta Q}{T}

B. \Delta S = \frac{\Delta Q}{T^2}

C. \Delta S = \frac{\Delta Q}{T^3}

D. \Delta S = \frac{\Delta Q}{T^4}

Correct Answer: A

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Question 21

A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?

A. The volume of the gas will decrease.

Correct B. The volume of the gas will increase.

C. The volume of the gas will remain cons\tant.

D. The volume of the gas will increase and then decrease.

Correct Answer: B

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Question 22

A charged particle is moving through a magnetic field. If the particle is positively charged, what will happen to its path?

A. The particle will be deflected towards the magnetic field.

Correct B. The particle will be deflected away from the magnetic field.

C. The particle will not be deflected.

D. The particle will be accelerated.

Correct Answer: B

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Question 23

A radioactive sample is undergoing \alpha decay. What type of radiation is emitted?

A. Beta radiation

B. Gamma radiation

Correct C. Alpha radiation

D. Neutron radiation

Correct Answer: C

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Question 24

A circuit consists of a battery, a resistor, and a capacitor in series. If the capacitor is fully charged, what will happen to the current in the circuit?

A. The current will increase.

B. The current will decrease.

C. The current will remain cons\tant.

Correct D. The current will become zero.

Correct Answer: D

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Question 25

A point charge is placed at the center of a spherical conductor. What will happen to the electric field inside the conductor?

A. The electric field will increase.

B. The electric field will decrease.

C. The electric field will remain cons\tant.

Correct D. The electric field will become zero.

Correct Answer: D

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