POST UTME CHRISTOPHER UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. What is the time of flight?
A. 1 s
B. 2 s
C. 3 s
D. 4 s
Question 2
A gas at 300 K and 1 atm expands to 2 atm. What is the new temperature in Kelvin?
A. 400 K
B. 450 K
C. 500 K
D. 550 K
Question 3
A nucleus of mass number 238 and atomic number 92 undergoes \alpha decay. What is the mass number and atomic number of the daughter nucleus?
A. 234,90
B. 236,91
C. 238,92
D. 240,93
Question 4
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. If the coil has a radius of 0.05 m, what is the magnetic flux through the coil?
A. 0.01 Wb
B. 0.02 Wb
C. 0.03 Wb
D. 0.04 Wb
Question 5
A 10 μF capacitor is connected in parallel with a 20 Ω resistor. If a 12 V battery is connected across the circuit, calculate the current flowing through the resistor.
A. 0.6 A
B. 0.8 A
C. 1 A
D. 1.2 A
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, calculate the potential energy stored in the spring.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 7
A light ray passes from air into a glass slab of re\fractive index $1.5$. If the angle of incidence is $30^{circ}$, what is the angle of re\fraction?
A. 20^{circ}
B. 25^{circ}
C. 30^{circ}
D. 35^{circ}
Question 8
A radioactive sample decays at a rate given by the equation $N(t) = N_0 e^{-\lambda t}$, where $N_0$ is the initial number of nuclei, $\lambda$ is the decay cons\tant, and $t$ is time. If $N_0 = 100$ and $\lambda = 0.1 \, \text{min}^{-1}$, what is the number of nuclei remaining after $10$ minutes?
A. 9.95
B. 19.9
C. 39.8
D. 99.5
Question 9
A 3 kg object is moving in a circular path with a radius of 2 m. If the object's speed is 6 m/s, calculate the centripetal acceleration.
A. 6 m/s^2
B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2
Question 10
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 20 Bq
B. 40 Bq
C. 60 Bq
D. 80 Bq
Question 11
A light ray passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. Calculate the angle of deviation.
A. 10°
B. 15°
C. 20°
D. 25°
Question 12
A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is its speed?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 13
A 2 kg object is moving in a circular path with a radius of 1 m. If the object's speed is 4 m/s, calculate the centripetal force acting on the object.
A. 8 N
B. 16 N
C. 24 N
D. 32 N
Question 14
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?
A. 1 s
B. 2 s
C. 3 s
D. 4 s
Question 15
A solid cylinder of radius $R$ and length $L$ is floating in a fluid of density $\rho_f$. If the cylinder is partially submerged in the fluid, what is the pressure at the bottom of the cylinder?
A. \rho_f g L
B. \rho_f g L + \rho_s g R
C. \rho_f g L + \rho_s g R^2
D. \rho_f g L + \rho_s g R^3

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