POST UTME BOWEN UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens with a focal length of 0.2 m is used to form an image of an object placed 0.5 m away. Calculate the magnification of the lens.
A. 0.25
B. 0.5
C. 1
D. 2
Question 2
A radioactive sample decays with a half-life of $T_{1/2}$. What is the activity of the sample after a time $t = 3T_{1/2}$?
A. \( \frac{1}{8}A_0 \)
B. \( \frac{1}{4}A_0 \)
C. \( \frac{1}{2}A_0 \)
D. \( A_0 \)
Question 3
A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the maximum speed of the block?
A. \sqrt{\frac{kx^2}{m}}
B. \sqrt{\frac{mx^2}{k}}
C. \sqrt{\frac{k}{mx^2}}
D. \sqrt{\frac{m}{kx^2}}
Question 4
A 5 kg block is moving at a speed of 10 m/s on a horizontal surface. If the coefficient of kinetic friction between the block and the surface is 0.2, determine the force of friction acting on the block.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If a potential difference of 10 V is applied across the plates, calculate the capaci\tance of the capacitor.
A. 2.5 x 10^-11 F
B. 2.5 x 10^-10 F
C. 2.5 x 10^-9 F
D. 2.5 x 10^-8 F
Question 6
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, what is its maximum speed?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A particle of mass $m$ is in a one-dimensional potential well of depth $V_0$. If the particle is in the ground state, what is the energy of the particle?
A. \frac{\sqrt{2mV_0}}{\pi}
B. \frac{2\sqrt{2mV_0}}{\pi}
C. \frac{3\sqrt{2mV_0}}{\pi}
D. \frac{4\sqrt{2mV_0}}{\pi}
Question 8
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the temperature of the high-temperature reservoir?
A. 400 K
B. 450 K
C. 500 K
D. 550 K
Question 9
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V battery. If the inductor is initially at rest, what is the current in the circuit after 5 ms?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 10
A particle of mass $m$ is moving in a circular orbit with a radius $r$ and a speed $v$. What is the particle's kinetic energy?
A. \( \frac{1}{2}mv^2 \)
B. (mvr)
C. \( \frac{1}{2}m\( r^2 + v^2 \ \))
D. \( \frac{1}{2}m\( r^2 - v^2 \ \))
Question 11
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the probability of finding the particle in the region $0 < x < \frac{L}{2}$?
A. \( \frac{1}{2} \)
B. \( \frac{1}{4} \)
C. \( \frac{1}{8} \)
D. \( \frac{1}{16} \)
Question 12
A 100 W bulb is connected to a 230 V mains supply. If the bulb is rated for 2500 hours of operation, how many joules of energy will it consume in that time?
A. 5.25 x 10^6 J
B. 5.75 x 10^6 J
C. 6.25 x 10^6 J
D. 6.75 x 10^6 J
Question 13
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity after 10 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 14
A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the capacitor.
A. 25 μC
B. 250 μC
C. 2.5 mC
D. 25 mC
Question 15
A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium of speed $v$. If the wave is reflected off a fixed \end and then reflected again off a free \end, what is the resulting wave's frequency?
A. 2f
B. f
C. \frac{f}{2}
D. \frac{f}{4}

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