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POST UTME NILE UNIVERSITY 2020 Physics | Objective

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Question 1 View Details

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 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 2 View Details

A light ray passes from air into a glass block with re\fractive index $\mu = 1.5$. If the angle of incidence is $30^\circ$, find the angle of re\fraction.

Correct A. 20^\circ

B. 30^\circ

C. 40^\circ

D. 50^\circ

Correct Answer: A

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Question 3 View Details

A circuit consists of a $10\Omega$ resistor, a $20\mu F$ capacitor, and a $50\mu H$ inductor in series. The circuit is driven by a $10\sin(1000t)$ V source. Find the impedance of the circuit.

A. 10\Omega

B. 20\Omega

Correct C. 30\Omega

D. 40\Omega

Correct Answer: C

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Question 4 View Details

A wave with frequency $f$ and wavelength $\lambda$ is incident on a barrier with a \single slit of width $a$. Find the intensity of the wave at a point on the screen a dis\tance $x$ from the center of the slit.

Correct A. \frac{I_0}{4}

B. \frac{I_0}{2}

C. I_0

D. 2I_0

Correct Answer: A

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Question 5 View Details

A particle of mass $m$ is moving in a circular orbit with radius $r$ and angular velocity $\omega$. Find the centripetal force acting on the particle.

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

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

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

D. \frac{mv^2}{8r}

Correct Answer: A

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Question 6 View Details

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 7 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 6 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 8 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, 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 9 View Details

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. If a 12 V battery is connected across the combination, what is the current flowing through the 100 Ω resistor?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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Question 10 View Details

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?

A. 5 N

Correct B. 10 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 11 View Details

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g and the half-life of Uranium-238 is 4.5 x 10^9 years, what is the mass of the sample after 1.8 x 10^9 years?

A. 50 g

B. 25 g

C. 75 g

Correct D. 37.5 g

Correct Answer: D

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Question 12 View Details

A particle of charge q = 2 x 10^-6 C is moving in a circular path of radius r = 0.5 m with a speed v = 5 m/s. If the magnetic field strength is B = 0.2 T, what is the magnitude of the force acting on the particle?

A. 0.01 N

Correct B. 0.02 N

C. 0.03 N

D. 0.04 N

Correct Answer: B

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Question 13 View Details

A sound wave with frequency f = 200 Hz and amplitude A = 0.5 m is traveling through a medium with speed v = 343 m/s. If the wave is reflected off a surface, what is the frequency of the reflected wave?

Correct A. 200 Hz

B. 400 Hz

C. 600 Hz

D. 800 Hz

Correct Answer: A

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Question 14 View Details

A simple harmonic motion has a period T = 2 s and an amplitude A = 0.5 m. If the initial phase angle is φ = π/4 rad, what is the equation of motion?

Correct A. x(t) = 0.5 \cos $ πt/2 + π/4 $

B. x(t) = 0.5 \cos $ πt/2 - π/4 $

C. x(t) = 0.5 \cos $ πt/2 $

D. x(t) = 0.5 \cos $ πt/4 $

Correct Answer: A

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Question 15 View Details

A convex lens with focal length f = 0.2 m is placed in a beam of light with wavelength λ = 500 nm. If the lens is illuminated with a parallel beam of light, what is the angle of divergence of the light beam after pas\sing through the lens?

A. 0.001 rad

B. 0.002 rad

Correct C. 0.003 rad

D. 0.004 rad

Correct Answer: C

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Question 16 View Details

A \sinusoidal voltage source has a peak value of 100 V and a frequency of 50 Hz. Determine the rms value of the voltage.

Correct A. 70.71 V

B. 50 V

C. 100 V

D. 141.42 V

Correct Answer: A

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Question 17 View Details

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

A. 16 N

B. 32 N

Correct C. 48 N

D. 64 N

Correct Answer: C

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Question 18 View Details

A gas is contained in a cylinder of volume 2 m^3 at a temperature of 300 K. If the pressure of the gas is 100 kPa, determine the number of moles of gas present.

A. 0.01 mol

Correct B. 0.02 mol

C. 0.03 mol

D. 0.04 mol

Correct Answer: B

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Question 19 View Details

A resistor of 10 ohms is connected in series with a capacitor of 100 microfarads. If the frequency of the AC source is 50 Hz, determine the impedance of the circuit.

A. 10 ohms

B. 20 ohms

Correct C. 30 ohms

D. 40 ohms

Correct Answer: C

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Question 20 View Details

A wave has a frequency of 200 Hz and a wavelength of 2 m. Determine the speed of the wave.

A. 400 m/s

Correct B. 600 m/s

C. 800 m/s

D. 1000 m/s

Correct Answer: B

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Question 21 View Details

A thermodynamic system is in equilibrium when the rate of heat transfer is equal to the rate of heat production. What is the name of the process that occurs when the system is in equilibrium?

A. Isothermal process

B. Adiabatic process

Correct C. Cyclic process

D. Isobaric process

Correct Answer: C

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Question 22 View Details

A vector θ has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. What is the x-component of the vector?

A. 2.5

Correct B. 4.33

C. 5

D. 7.07

Correct Answer: B

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Question 23 View Details

A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. The capaci\tance of the capacitor is 10 µF. What is the charge on the capacitor when a potential difference of 5 V is applied across it?

A. 50 µC

Correct B. 100 µC

C. 150 µC

D. 200 µC

Correct Answer: B

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Question 24 View Details

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

A. 16 N

Correct B. 32 N

C. 48 N

D. 64 N

Correct Answer: B

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Question 25 View Details

A photon has an energy of 2 eV. What is the wavelength of the photon?

A. 100 nm

Correct B. 200 nm

C. 300 nm

D. 400 nm

Correct Answer: B

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