POST UTME ACHIEVERS UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A capacitor consists of two parallel plates separated by a dis\tance d. The capaci\tance C is given by C = \( ε_0 * A \) / d, where ε_0 is the permittivity of free space, A is the area of the plates, and d is the dis\tance between them. If the area of the plates is doubled to 2A, what is the new capaci\tance C_new?
A. ε_0 * A / d
B. 2 * ε_0 * A / d
C. ε_0 * (2A) / d
D. 2 * ε_0 * (2A) / d
Question 2
A radioactive sample decays according to the equation N(t) = N_0 * e^\( -λt \), where N(t) is the number of nuclei remaining at time t, N_0 is the initial number of nuclei, λ is the decay cons\tant, and t is time. If the initial number of nuclei is doubled to 2N_0, what is the new number of nuclei N_new at time t?
A. N_0 * e^\( -λt \)
B. 2 * N_0 * e^\( -λt \)
C. N_0 * e^\( -2λt \)
D. 2 * N_0 * e^\( -2λt \)
Question 3
A wave function is given by ψ(x) = Ae^\( -αx^2 \). If the wave function is normalized, what is the value of α?
A. 1/2
B. 1
C. 2
D. 4
Question 4
A wave with frequency f and wavelength λ is traveling through a medium with speed v. If the frequency is doubled to 2f, what is the new wavelength λ_new?
A. λ / 2
B. λ * 2
C. v / 2f
D. v / f
Question 5
A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
Question 6
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. The particle is subject to a centripetal force F_c = \( m * v^2 \) / r. If the particle's speed is doubled to 2v, what is the new centripetal force F_c_new?
A. 4m * v^2 / r
B. m * v^2 / r
C. 2m * v^2 / r
D. m * (2v)^2 / r
Question 7
A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a velocity of 4 m/s, calculate the centripetal acceleration.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 8
A circuit consists of a 2 Ω resistor and a 3 Ω resistor connected in series. If a voltage of 6 V is applied across the circuit, what is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 9
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial pressure is 100 kPa and the final pressure is 200 kPa, what is the work done on the gas?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 11
A simple harmonic motion has a frequency of 5 Hz and an amplitude of 2 m. What is the angular frequency?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 12
A magnetic field of 0.5 T is directed along the z-axis. A current of 2 A is flowing in a wire loop of radius 0.2 m. What is the magnitude of the magnetic moment of the loop?
A. 0.1 A m^2
B. 0.1256 A m^2
C. 0.15 A m^2
D. 0.2 A m^2
Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 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 is subjected to a centripetal acceleration of 2 m/s^2, what is the force exerted on the particle?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 15
A sound wave has a frequency of 200 Hz and a speed of 343 m/s. What is the wavelength (λ) of the wave?
A. 1.71 m
B. 2.86 m
C. 4.29 m
D. 5.71 m

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: