POST UTME BELLS UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A car is traveling at a speed of 25 m/s when it encounters a hill with a height of 10 m. If the car's kinetic energy is 500 J, what is the car's potential energy at the top of the hill?
A. 200 J
B. 400 J
C. 600 J
D. 800 J
Question 2
A wave of frequency $f$ and wavelength $\lambda$ is incident on a barrier of width $d$. If the wave is reflected back with a phase shift of $\pi$, what is the magnitude of the reflected wave?
A. \frac{A_0}{2}
B. \frac{A_0}{4}
C. \frac{A_0}{6}
D. \frac{A_0}{8}
Question 3
A particle of mass $m$ is in a one-dimensional potential well of depth $V_0$ and width $d$. If the particle is in the ground state, what is the energy of the particle?
A. \frac{\hbar^2\pi^2}{2md^2}
B. \frac{\hbar^2\pi^2}{4md^2}
C. \frac{\hbar^2\pi^2}{6md^2}
D. \frac{\hbar^2\pi^2}{8md^2}
Question 4
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the force exerted on the particle?
A. \frac{mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{3r}
D. \frac{mv^2}{4r}
Question 5
A capacitor is connected to a battery of voltage 12 V. If the capaci\tance is 10^-6 F, what is the charge on the capacitor?
A. 0.12 C
B. 0.24 C
C. 0.36 C
D. 0.48 C
Question 6
A gas is heated from 20°C to 80°C at cons\tant volume. If the initial pressure is 1 atm, calculate the final pressure.
A. 1.5 atm
B. 2 atm
C. 2.5 atm
D. 3 atm
Question 7
A \tank contains 1000 L of water at a pressure of 1 atm. A valve is opened, allowing water to flow out of the \tank. If the flow rate is 2 L/s, how long will it take for the water level to drop by 10%?
A. 50 s
B. 100 s
C. 200 s
D. 500 s
Question 8
A gas is confined to a cylinder of volume 0.05 m^3. If the pressure is 200 kPa and the temperature is 300 K, what is the number of moles of gas?
A. 0.02 mol
B. 0.04 mol
C. 0.06 mol
D. 0.08 mol
Question 9
A magnetic field is produced by a current-carrying wire. If the current is 5 A and the length of the wire is 0.1 m, what is the magnetic field strength?
A. 0.05 T
B. 0.1 T
C. 0.15 T
D. 0.2 T
Question 10
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. Calculate the acceleration of the block.
A. 1 m/s²
B. 2 m/s²
C. 3 m/s²
D. 4 m/s²
Question 11
A 2.5 V battery is connected in series with a 10 Ω resistor and a 5 μF capacitor. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?
A. 0.05 s
B. 0.1 s
C. 0.5 s
D. 1 s
Question 12
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 2.5 μF
B. 5 μF
C. 10 μF
D. 20 μF
Question 13
A 1000 µF capacitor is connected in parallel with a 2000 µF capacitor across a 120 V AC supply. Calculate the equivalent capaci\tance and the current flowing through the circuit.
A. 1500 µF
B. 2500 µF
C. 3000 µF
D. 4000 µF
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. Calculate the magnitude of the centripetal force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 15
A vector A has magnitude 5 m and direction 30° north of east. A vector B has magnitude 3 m and direction 60° south of west. What is the magnitude of the resul\tant vector A + B?
A. 6.4 m
B. 7.1 m
C. 7.9 m
D. 8.5 m

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