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POST UTME KSU 2018 Physics | Objective

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Question 1 View Details

A 2.5 mH inductor is connected in series with a 10 V AC source. If the frequency of the source is 50 Hz, calculate the inductive reac\tance of the inductor.

Correct A. ( 5.0 Omega )

B. ( 10.0 Omega )

C. ( 20.0 Omega )

D. ( 50.0 Omega )

Correct Answer: A

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Question 2 View Details

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the work done by the force in 2 seconds.

Correct A. ( 20.0 J )

B. ( 40.0 J )

C. ( 60.0 J )

D. ( 80.0 J )

Correct Answer: A

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Question 3 View Details

A 100 W bulb is connected to a 200 V AC source. If the power factor of the bulb is 0.8, calculate the current drawn by the bulb.

A. ( 0.5 A )

Correct B. ( 1.0 A )

C. ( 1.5 A )

D. ( 2.0 A )

Correct Answer: B

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Question 4 View Details

A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, calculate the kinetic energy of the block after 1 second.

A. ( 10.0 J )

Correct B. ( 20.0 J )

C. ( 30.0 J )

D. ( 40.0 J )

Correct Answer: B

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Question 5 View Details

A 2.0 mH inductor is connected in series with a 10 V AC source. If the frequency of the source is 100 Hz, calculate the inductive reac\tance of the inductor.

A. ( 10.0 Omega )

Correct B. ( 20.0 Omega )

C. ( 50.0 Omega )

D. ( 100.0 Omega )

Correct Answer: B

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Question 6 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.005 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 1.2 x 10^-10 F

Correct B. 2.4 x 10^-10 F

C. 3.6 x 10^-10 F

D. 4.8 x 10^-10 F

Correct Answer: B

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Question 7 View Details

A gas at 300 K expands from 0.05 m^3 to 0.2 m^3. Calculate the work done by the gas if it expands against a cons\tant external pressure of 1.5 x 10^5 Pa.

A. 375 J

Correct B. 750 J

C. 1125 J

D. 1500 J

Correct Answer: B

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Question 8 View Details

A block of mass 2 kg is attached to a horizontal spring with spring cons\tant 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, calculate the maximum speed of the block.

A. 0.5 m/s

Correct B. 1 m/s

C. 1.5 m/s

D. 2 m/s

Correct Answer: B

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Question 9 View Details

A body of mass 5 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 2 m, calculate the centripetal force acting on the body.

A. 20 N

B. 40 N

Correct C. 60 N

D. 80 N

Correct Answer: C

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Question 10 View Details

A 100 W bulb is connected to a 220 V power supply. Calculate the current drawn by the bulb.

A. 0.45 A

Correct B. 0.5 A

C. 0.55 A

D. 0.6 A

Correct Answer: B

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Question 11 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, what is the magnitude of the displacement current?

A. 0.5 A

Correct B. 1.0 A

C. 2.0 A

D. 5.0 A

Correct Answer: B

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Question 12 View Details

A magnetic field of 0.5 T is applied to a coil of 50 turns and radius 0.1 m. If the current in the coil is 2 A, what is the magnitude of the torque experienced by the coil?

A. 0.05 Nm

Correct B. 0.1 Nm

C. 0.2 Nm

D. 0.5 Nm

Correct Answer: B

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Question 13 View Details

A vector A has magnitude 5 m and direction 30° north of east. A vector B has magnitude 3 m and direction 60° south of west. What is the magnitude of the resul\tant vector A + B?

A. 4.5 m

B. 5.5 m

Correct C. 6.5 m

D. 7.5 m

Correct Answer: C

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Question 14 View Details

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

A. 4 N

Correct B. 8 N

C. 12 N

D. 16 N

Correct Answer: B

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Question 15 View Details

A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?

A. 0.5 A

Correct B. 1.0 A

C. 2.0 A

D. 5.0 A

Correct Answer: B

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Question 16 View Details

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$, where $k$ is a positive cons\tant. If the particle's angular momentum is $L = 2mr^2 omega$, find the total energy of the particle in terms of $m$, $r$, and $k$.

Correct A. \frac{1}{2} m r^2 \omega^2 - \frac{k}{r}

B. \frac{1}{2} m r^2 \omega^2 + \frac{k}{r}

C. \frac{1}{2} m r^2 \omega^2

D. -\frac{k}{r}

Correct Answer: A

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Question 17 View Details

A light ray passes through a prism of angle $\theta$ and is re\fracted at an angle $\phi$ to the normal. If the prism is placed in a medium of re\fractive index $n_1$, find the angle of deviation $\delta$ in terms of $\theta$, $\phi$, and $n_1$.

Correct A. \theta - \phi + \sin^{-1} \left$ \frac{n_1 \sin \phi}{n_2} \right $

B. \theta + \phi + \sin^{-1} \left$ \frac{n_1 \sin \phi}{n_2} \right $

C. \theta - \phi - \sin^{-1} \left$ \frac{n_1 \sin \phi}{n_2} \right $

D. \theta + \phi - \sin^{-1} \left$ \frac{n_1 \sin \phi}{n_2} \right $

Correct Answer: A

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Question 18 View Details

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle is subject to a uniform gravitational field of strength $g$, find the time of flight $T$ in terms of $m$, $v_0$, and $g$.

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

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

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

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

Correct Answer: A

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Question 19 View Details

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$ and amplitude $V_0$, find the impedance $Z$ of the circuit in terms of $R$, $L$, $C$, $f$, and $V_0$.

Correct A. \sqrt{R^2 + $ X_L - X_C $^2}

B. \sqrt{R^2 + $ X_L + X_C $^2}

C. \sqrt{R^2 - $ X_L - X_C $^2}

D. \sqrt{R^2 - $ X_L + X_C $^2}

Correct Answer: A

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Question 20 View Details

A light beam of wavelength $\lambda$ is incident on a dif\fraction grating of spacing $d$. If the first-order dif\fraction maximum occurs at an angle $\theta$ to the normal, find the value of $\theta$ in terms of $\lambda$ and $d$.

Correct A. \sin \theta = \frac{m \lambda}{d}

B. \sin \theta = \frac{m \lambda}{2d}

C. \sin \theta = \frac{2m \lambda}{d}

D. \sin \theta = \frac{2m \lambda}{2d}

Correct Answer: A

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Question 21 View Details

A magnetic field is generated by a current-carrying wire. If the current is doubled, what happens to the magnetic field?

A. The magnetic field remains the same.

Correct B. The magnetic field doubles.

C. The magnetic field quadruples.

D. The magnetic field becomes zero.

Correct Answer: B

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Question 22 View Details

A 1000 Ω resistor is connected in series with a 50 Ω resistor. What is the total resis\tance?

A. 500 Ω

Correct B. 750 Ω

C. 1000 Ω

D. 1250 Ω

Correct Answer: B

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Question 23 View Details

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. What is the pressure if the volume is increased to 5 L?

A. 0.5 atm

B. 1.0 atm

C. 1.5 atm

Correct D. 2.0 atm

Correct Answer: D

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Question 24 View Details

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

Correct A. 2.5 units

B. 3.0 units

C. 4.0 units

D. 5.0 units

Correct Answer: A

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Question 25 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total resis\tance?

A. 2 Ω

Correct B. 3 Ω

C. 4 Ω

D. 6 Ω

Correct Answer: B

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