POST UTME EKSU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel-plate capacitor has plates of area $A$ and separation $d$. The capacitor is charged to a potential difference $V$. Find the capaci\tance $C$ of the capacitor.
A. \frac{\varepsilon_0 A}{d}
B. \frac{d}{\varepsilon_0 A}
C. \frac{A}{\varepsilon_0 d}
D. \frac{d}{A}
Question 2
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. Find the centripetal acceleration $a_c$ of the particle.
A. \frac{v^2}{r}
B. \frac{r}{v^2}
C. \frac{v}{r}
D. \frac{r}{v}
Question 3
A current of 2 A flows through a resistor of 10 Ω. If the voltage across the resistor is 20 V, what is the power dissipated by the resistor?
A. 40 W
B. 60 W
C. 80 W
D. 100 W
Question 4
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 5
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 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 ε of the particle's motion.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 7
A quantum particle has a wave function given by \( \psi(x) = Ae^{-\alpha x^2} \). If the average value of the position is 0.5 m, calculate the s\tandard deviation of the position.
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 8
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 9
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 10
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 11
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 force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 12
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 13
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 14
A force of 10 N is applied to an object, cau\sing it to accelerate at 2 m/s^2. What is the mass of the object?
A. 2.5 kg
B. 5 kg
C. 10 kg
D. 20 kg
Question 15
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an AC voltage source with a frequency of $f$, what is the impedance of the circuit?
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \frac{1}{\sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}}
C. \omega L - \frac{1}{\omega C}
D. R + \omega L - \frac{1}{\omega C}

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: