POST UTME SKYLINE UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 W heater is used to heat a 10 kg block of copper from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, calculate the time taken for the heating process.
A. 20 s
B. 23.1 s
C. 25 s
D. 30 s
Question 2
A long, straight wire carries a current of 5 A. If the magnetic field at a dis\tance of 2 cm from the wire is 0.05 T, what is the current in a second wire that is placed perp\endicular to the first wire at the same dis\tance?
A. 2 A
B. 5 A
C. 10 A
D. 20 A
Question 3
A radioactive sample decays according to the equation \( \frac{dN}{dt} = -lambda N \), where $N$ is the number of nuclei and $lambda$ is the decay cons\tant. If the initial number of nuclei is $N_0$ and the half-life of the sample is $T_{1/2}$, what is the time $t$ at which the number of nuclei is reduced to $\frac{N_0}{4}?
A. $T_{1/2} ln 2$
B. $T_{1/2} ln 4$
C. $T_{1/2} ln 8$
D. $T_{1/2} ln 16$
Question 4
A capacitor of capaci\tance 10 µF is connected in parallel with a resistor of resis\tance 100 µF. If the frequency of the source is 50 Hz, what is the impedance of the circuit?
A. \( 10 \sqrt{2} \) µF
B. \( 10 \sqrt{3} \) µF
C. \( 10 \sqrt{5} \) µF
D. \( 10 \sqrt{7} \) µF
Question 5
A simple harmonic motion has a frequency of 5 Hz and an amplitude of 2 m. Calculate the angular frequency.
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 6
A 10 μF capacitor is connected in series with a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current in the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 7
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the half-life of Uranium-238 is 4.5 billion years, calculate the mass of the sample after 1 billion years.
A. 50 g
B. 25 g
C. 75 g
D. 37.5 g
Question 8
A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. Calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 9
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal acceleration $a_c$ of the particle?
A. $\frac{v^2}{r}$
B. $\frac{v^2}{2r}$
C. $\frac{2v^2}{r}$
D. $\frac{v^2}{3r}$
Question 10
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 8 m/s^2
C. 16/3 m/s^2
D. 32 m/s^2
Question 11
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 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 12
A 12 V battery is connected in series with a 4 Ω resistor and a 6 Ω resistor. Find the current flowing through the circuit.
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 13
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 3 m/s. If the particle is subjected to a centripetal force of 5 N, what is the angular velocity of the particle?
A. ( 0.5 ) rad/s
B. ( 1 ) rad/s
C. ( 2 ) rad/s
D. ( 5 ) rad/s
Question 14
A particle of mass 2 kg moves in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Find 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 block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming that the block undergoes simple harmonic motion, what is the angular frequency $omega$ of the block?
A. $\sqrt{\frac{k}{m}}$
B. $\sqrt{\frac{m}{k}}$
C. $\frac{k}{m}$
D. $\frac{m}{k}$

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: