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POST UTME EKSU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1

A circuit consists of a resistor $R_1$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source of amplitude $V_0$ and frequency $f$, what is the impedance of the circuit?

A. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

C. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

D. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

Question 2

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $d$ from the origin, what is the time of flight?

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

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

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

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

Question 3

A wave has a frequency $f$ and wavelength $\lambda$. Find the speed $v$ of the wave.

A. f\lambda

B. \frac{f}{\lambda}

C. \frac{\lambda}{f}

D. \frac{1}{f\lambda}

Question 4

A wave of wavelength $\lambda$ and frequency $f$ is incident on a barrier of width $d$. If the wave is partially reflected, what is the intensity of the reflected wave?

A. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 - \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

B. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 + \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

C. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 - \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

D. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 + \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

Question 5

A gas is enclosed in a container of volume 2.5 L at a temperature of 300 K. If the temperature is increased to 500 K, what is the new volume of the gas, assuming ideal gas behavior?

A. 3.125 L

B. 4.166 L

C. 5.208 L

D. 6.25 L

Question 6

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

A. 25 Bq

B. 50 Bq

C. 75 Bq

D. 100 Bq

Question 7

A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?

A. 300 m/s

B. 360 m/s

C. 420 m/s

D. 480 m/s

Question 8

A block of mass 5 kg 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, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

C. 6 m/s

D. 8 m/s

Question 9

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

A. 8 Ω

B. 10 Ω

C. 12 Ω

D. 14 Ω

Question 10

A particle is moving in a circular path with a radius of 2 m. If the particle completes one revolution in 4 s, what is its angular velocity?

A. 0.5 rad/s

B. 1 rad/s

C. 2 rad/s

D. 4 rad/s

Question 11

A particle of mass $m$ and charge $q$ is moving in a circular path of radius $r$ in a uniform magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

A. \frac{mv}{qr}

B. \frac{qr}{mv}

C. \frac{mv^2}{qr}

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

Question 12

A 50 Hz AC voltage source is connected to a 100 Ω resistor in series with a 20 μF capacitor. If the initial phase angle between the voltage and current is 30°, calculate the impedance of the circuit.

A. 120 Ω

B. 140 Ω

C. 160 Ω

D. 180 Ω

Question 13

A magnetic field $B$ is directed perp\endicular to a current-carrying wire of length $L$. If the current is $I$, what is the force on the wire?

A. ILB

B. \frac{ILB}{L}

C. \frac{ILB}{B}

D. \frac{ILB}{I}

Question 14

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 4 m/s

B. 6 m/s

C. 8 m/s

D. 10 m/s

Question 15

A wave of wavelength $\lambda$ and frequency $f$ is incident on a barrier of width $d$. If the wave is partially reflected, what is the intensity of the reflected wave?

A. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 - \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

B. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 + \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

C. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 - \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

D. \frac{$ I_0 $$ \sin^2\( \frac{\pi d}{\lambda} \ $)}{$ 1 + \( \frac{\sin(\frac{\pi d}{\lambda} \ $)^2)}

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POST UTME EKSU 2017 Physics | Objective

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