POST UTME ABU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A charged particle of mass $m$ and charge $q$ moves through a uniform magnetic field of strength $B$ with an initial velocity $v_0$ perp\endicular to the magnetic field. If the particle's velocity is reduced to $v_1$ after traveling a dis\tance $d$, what is the magnitude of the magnetic field?
A. B = \frac{m\( v_0 - v_1 \)}{qd}
B. B = \frac{m\( v_0 + v_1 \)}{qd}
C. B = \frac{m\( v_0 - v_1 \)}{q^2d}
D. B = \frac{mv_0}{qd}
Question 2
A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is decreased by a factor of $n$, what is the new capaci\tance?
A. C' = nC
B. C' = \frac{C}{n}
C. C' = \frac{nC}{V}
D. C' = \frac{CV}{n}
Question 3
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 acceleration of the particle?
A. 6 m/s^2
B. 8 m/s^2
C. 10 m/s^2
D. 12 m/s^2
Question 4
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 41.8°
D. 50°
Question 5
A photon of energy $E$ is incident on a metal surface with work function $\phi$. If the photon is not absorbed, what is the maximum kinetic energy of the emitted electron?
A. K_{max} = E - \phi
B. K_{max} = E + \phi
C. K_{max} = \phi - E
D. K_{max} = E\phi
Question 6
A heat engine operates between two reservoirs at temperatures 300 K and 500 K. If the efficiency of the engine is 30%, what is the work done per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 7
A 100 V AC supply is connected to a 50 Ω resistor. If the frequency of the supply is 50 Hz, what is the rms value of the current?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 8
A wave of frequency 100 Hz and wavelength 2 m is propagating through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?
A. 100 Hz
B. 200 Hz
C. 300 Hz
D. 400 Hz
Question 9
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. If the amplitude of the wave is 0.01 m, what is the intensity of the wave?
A. 10^-3 W/m^2
B. 10^-4 W/m^2
C. 10^-5 W/m^2
D. 10^-6 W/m^2
Question 10
A block of mass 5 kg is susp\ended from a spring with spring cons\tant 200 N/m. If the block is displaced by 0.2 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 11
A 220 V AC supply is connected to a 100 Ω resistor. If the current is 2 A, what is the power consumed by the resistor?
A. 440 W
B. 880 W
C. 1320 W
D. 1760 W
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 13
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by a \sinusoidal voltage source with amplitude $V_0$ and frequency $f$. Find 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. \sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}
D. \frac{1}{\sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}}
Question 14
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 15
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?
A. 300 m/s
B. 600 m/s
C. 900 m/s
D. 1200 m/s

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