POST UTME AFE BABALOLA UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capacitor is connected to a 12 V battery. Calculate the capaci\tance and the charge stored on the capacitor.
A. 0.02 F, 0.24 C
B. 0.01 F, 0.12 C
C. 0.04 F, 0.48 C
D. 0.08 F, 0.96 C
Question 2
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 3
A wave of amplitude $A$ and frequency $f$ is propagating through a medium with speed $v$. If the wave is reflected from a fixed \end, determine the amplitude $A'$ of the reflected wave.
A. \( A \)
B. \( 2A \)
C. \( \frac{A}{2} \)
D. \( 0 \)
Question 4
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V power source. If the switch is closed at time t = 0, what is the maximum current in the circuit?
A. 0.6 A
B. 1.2 A
C. 2.4 A
D. 4.8 A
Question 5
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. Calculate the wavelength of the sound wave.
A. 1.7 m
B. 1.4 m
C. 1.1 m
D. 0.8 m
Question 6
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 experiences a uniform gravitational field of strength $g$, determine the time $t$ at which the particle reaches its maximum height.
A. \( \frac{v_0 \sin \theta}{g} \)
B. \( \frac{v_0 \cos \theta}{g} \)
C. \( \frac{v_0 \sin \theta}{g^2} \)
D. \( \frac{v_0 \cos \theta}{g^2} \)
Question 7
A 5 μF capacitor is connected in parallel with a 10 μF capacitor. If a 120 V power source is connected across the capacitors, what is the equivalent capaci\tance?
A. 5 μF
B. 10 μF
C. 15 μF
D. 20 μF
Question 8
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 20 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the frequency of the oscillations.
A. 0.5 Hz
B. 1 Hz
C. 2 Hz
D. 5 Hz
Question 9
A block of mass $m$ is susp\ended from a spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, determine the maximum velocity $v_{max}$ of the block.
A. \( \sqrt{\frac{kx^2}{m}} \)
B. \( \frac{kx^2}{m} \)
C. \( \frac{m}{kx^2} \)
D. \( \frac{kx^2}{m^2} \)
Question 10
A quantum particle has a wave function given by \psi(x) = Ae^{-\alpha x^2}. Calculate the expectation value of the position operator.
A. 0
B. \frac{1}{2\alpha}
C. \frac{1}{\alpha}
D. \frac{1}{2\alpha^2}
Question 11
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 120 V power source is connected across the resistors, what is the equivalent resis\tance?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 60 Ω
Question 12
A radioactive sample decays according to the law $N(t) = N_0 e^{-\lambda t}$, where $N_0$ is the initial number of nuclei and $\lambda$ is the decay cons\tant. If $N_0 = 100$ and $\lambda = 0.1s^{-1}$, determine the time $t$ at which the number of nuclei has decreased to $10\%$ of its initial value.
A. \( 0.05s \)
B. \( 0.1s \)
C. \( 0.2s \)
D. \( 0.5s \)
Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 14
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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 15
A circuit consists of a $10\Omega$ resistor, a $20\mu F$ capacitor, and a $5\times 10^{-3} H$ inductor connected in series. If the circuit is driven by a $10\sin (100t)$ V source, determine the impedance $Z$ of the circuit at $t = 0.01s$.
A. \( 15\Omega \)
B. \( 20\Omega \)
C. \( 25\Omega \)
D. \( 30\Omega \)

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