POST UTME RHEMA UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?
A. 8 Ω
B. 10 Ω
C. 12 Ω
D. 14 Ω
Question 2
A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the time of flight of the particle?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 3
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 4
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?
A. positive x-direction
B. negative x-direction
C. positive y-direction
D. negative y-direction
Question 5
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge on the plates when the potential difference between them is 100 V?
A. 2.5 x 10^-8 C
B. 5 x 10^-8 C
C. 1 x 10^-7 C
D. 2 x 10^-7 C
Question 6
A 2 kg block of ice at 0°C is placed in a 5°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the specific heat capacity of water is 4186 J/(kg°C), what is the time it takes for the ice to melt completely?
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 7
A light ray passes from air into a glass of re\fractive index $n = 1.5$. If the angle of incidence is $30^\circ$, what is the angle of re\fraction?
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
Question 8
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. What is the magnitude of the centripetal acceleration?
A. 16 m/s^2
B. 32 m/s^2
C. 48 m/s^2
D. 64 m/s^2
Question 9
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 days, what is the activity of the sample after 20 days?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 10
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 force of 12 N, what is the angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 11
A light wave with a frequency of 5 x 10^14 Hz and a wavelength of 600 nm is incident on a double-slit apparatus. If the dis\tance between the slits is 0.5 mm, what is the angle of the first-order maximum?
A. 10^\circ
B. 20^\circ
C. 30^\circ
D. 40^\circ
Question 12
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of acceleration $g$, find the time $t$ at which the particle reaches its maximum height.
A. \( \frac{v_0 \sin \theta}{g} \)
B. \( \frac{v_0 \cos \theta}{g} \)
C. \( \frac{v_0 \sin \theta}{g^2} \)
D. \( \frac{v_0 \cos \theta}{g^2} \)
Question 13
A parallel-plate capacitor consists of two plates of area $A$ and separation $d$. If the capacitor is charged to a potential difference $V$, find the capaci\tance $C$.
A. \( \frac{\epsilon_0 A}{d} \)
B. \( \frac{\epsilon_0 d}{A} \)
C. \( \frac{A}{\epsilon_0 d} \)
D. \( \frac{d}{\epsilon_0 A} \)
Question 14
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{m}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the expectation value of the position operator $hat{x}$ in the ground state?
A. 0
B. \frac{L}{2}
C. L
D. \frac{mL}{2\pi}
Question 15
A block of mass $m$ is placed on a frictionless surface and attached to a spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the force $F$ exerted on the block by the spring at position $x$.
A. -kx
B. kx
C. -mx
D. mx

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