POST UTME UNN 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A projectile is launched from the ground with an initial velocity of 20.0 ± 0.5 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 ± 0.2 m/s², what is the maximum height reached by the projectile?
A. ( 10.0 pm 0.5 ) m
B. ( 12.0 pm 0.6 ) m
C. ( 14.0 pm 0.7 ) m
D. ( 16.0 pm 0.8 ) m
Question 2
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 magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 3
A radioactive sample of Δₗ emits Δₗ particles at a rate of 1.5 ± 0.1 decays per minute. If the half-life of Δₗ is 5.27 ± 0.02 minutes, what is the mean lifetime of the sample?
A. ( 3.45 pm 0.23 ) minutes
B. ( 6.54 pm 0.41 ) minutes
C. ( 9.63 pm 0.59 ) minutes
D. ( 12.72 pm 0.77 ) minutes
Question 4
A particle of mass 2.0 ± 0.1 kg is moving in a circular path with a radius of 3.0 ± 0.1 m. If the particle experiences a centripetal acceleration of 4.0 ± 0.2 m/s², what is the magnitude of the net force acting on the particle?
A. ( 12.0 pm 1.6 ) N
B. ( 16.0 pm 2.1 ) N
C. ( 20.0 pm 2.6 ) N
D. ( 24.0 pm 3.2 ) N
Question 5
A light ray passes from air into a glass slab of thickness 6 cm and re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 6
A 2.5 mH inductor is connected in series with a 10 V AC source. If the frequency of the source is 50 Hz, what is the inductive reac\tance of the circuit?
A. \( 2.5 \times 10^{-3} \times 2 pi \times 50 \) Ω
B. \( 2.5 \times 10^{-3} \times 2 pi \times 100 \) Ω
C. \( 2.5 \times 10^{-3} \times 2 pi \times 150 \) Ω
D. \( 2.5 \times 10^{-3} \times 2 pi \times 200 \) Ω
Question 7
A current of 2 A flows through a resistor of 10 ohms for 5 seconds. What is the energy dissipated?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 8
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, calculate the time period of the resulting simple harmonic motion.
A. 0.5 s
B. 0.628 s
C. 1 s
D. 1.5 s
Question 9
A capacitor is charged to 10 μC. If the capaci\tance is 2 μF, what is the potential difference across the capacitor?
A. 5 V
B. 10 V
C. 20 V
D. 50 V
Question 10
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -30 cm. A parallel beam of light is incident on the combination. Determine the nature and focal length of the resulting lens.
A. Convex lens with focal length 10 cm
B. Concave lens with focal length -10 cm
C. Convex lens with focal length 40 cm
D. Concave lens with focal length -40 cm
Question 11
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 12
A beam of light passes from air into a glass of re\fractive index $\mu$ at an angle of incidence $\theta_i$. If the angle of re\fraction is $\theta_r$, determine the relationship between $\theta_i$ and $\theta_r$.
A. \sin\theta_i = \frac{\sin\theta_r}{\mu}
B. \sin\theta_i = \mu\sin\theta_r
C. \sin\theta_i = \frac{\mu\sin\theta_r}{\sin\theta_i}
D. \sin\theta_i = \sin\theta_r
Question 13
A block of mass 2 kg is susp\ended from a spring with spring cons\tant 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. 1.6 m/s
B. 2.0 m/s
C. 2.8 m/s
D. 3.2 m/s
Question 14
A 5 kg body is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, what is the acceleration of the body?
A. \( \frac{20}{5} \) m/s^2
B. \( \frac{20}{10} \) m/s^2
C. \( \frac{20}{15} \) m/s^2
D. \( \frac{20}{20} \) m/s^2
Question 15
A current of 2 A flows through a resistor of 10 ohms. Calculate the power dissipated in the resistor.
A. 20 W
B. 40 W
C. 60 W
D. 80 W

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: