POST UTME BABCOCK UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 100 kPa, what is the final pressure?
A. 120 kPa
B. 140 kPa
C. 160 kPa
D. 180 kPa
Question 2
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the angular frequency of the resulting simple harmonic motion.
A. 10 rad/s
B. 5 rad/s
C. 20 rad/s
D. 15 rad/s
Question 3
A ray of light passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 4
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, calculate the activity after 20 minutes.
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 5
A radioactive sample decays from 128 mg to 64 mg in 10 minutes. What is the half-life of the sample?
A. 5 minutes
B. 10 minutes
C. 15 minutes
D. 20 minutes
Question 6
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 force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mr^2}{v}
C. \frac{v^2}{mr}
D. \frac{r^2}{mv}
Question 7
A simple harmonic motion has an amplitude $A = 2\,\text{m}$ and a frequency $f = 5\,\text{Hz}$. What is the angular frequency of the motion?
A. 10\,\text{rad/s}
B. 20\,\text{rad/s}
C. 30\,\text{rad/s}
D. 40\,\text{rad/s}
Question 8
A convex lens with focal length $f$ is placed in a beam of light. The lens is illuminated with a parallel beam of light. What is the nature of the image formed by the lens?
A. Real and inverted
B. Virtual and upright
C. Real and upright
D. Virtual and inverted
Question 9
A circuit consists of a resistor $R_1 = 10\,\Omega$, an inductor $L = 5\,\text{H}$, and a capacitor $C = 10^{-6}\,\text{F}$. The circuit is driven by a voltage source $V_0 = 10\,\text{V}$ with a frequency $f = 50\,\text{Hz}$. What is the impedance of the circuit?
A. 10\,\Omega
B. 50\,\Omega
C. 100\,\Omega
D. 200\,\Omega
Question 10
A beam of light is incident on a mirror at an angle of 45°. If the mirror is a plane mirror, calculate the angle of reflection.
A. 45°
B. 90°
C. 135°
D. 180°
Question 11
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 experiences a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 12
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, what is the charge stored when the potential difference between the plates is 12 V?
A. 96 μC
B. 192 μC
C. 288 μC
D. 384 μC
Question 13
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator for this particle?
A. 0
B. \frac{L}{2}
C. L
D. \frac{n\pi L}{2}
Question 14
A 2.5 kΩ resistor is connected in series with a 5 V battery and a 10 Ω resistor. If the current through the 10 Ω resistor is 0.5 A, what is the potential difference across the 2.5 kΩ resistor?
A. 1.25 V
B. 2.5 V
C. 5 V
D. 10 V
Question 15
A body of mass $m$ is moving with a velocity $v$ in a direction making an angle $\theta$ with the horizontal. What is the magnitude of the force acting on the body?
A. mg \sin\theta
B. mg \cos\theta
C. mg \tan\theta
D. mg \csc\theta

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