POST UTME UI 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle moves in a straight line with an initial velocity of 10 m/s and a cons\tant acceleration of 2 m/s². What is its velocity after 5 s?
A. 20 m/s
B. 25 m/s
C. 30 m/s
D. 35 m/s
Question 2
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m. The particle is moving at a speed of 4 m/s. Calculate the centripetal acceleration of the particle.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 3
A 12V battery is connected in series to a 4Ω resistor and a 6Ω resistor. What is the total resis\tance in the circuit?
A. 10Ω
B. 12Ω
C. 14Ω
D. 16Ω
Question 4
A light ray passes from air into a glass of re\fractive index $\mu$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, which of the following equations is correct?
A. \mu = \frac{\sin \theta_i}{\sin \theta_r}
B. \mu = \frac{\sin \theta_r}{\sin \theta_i}
C. \mu = \frac{\cos \theta_i}{\cos \theta_r}
D. \mu = \frac{\cos \theta_r}{\cos \theta_i}
Question 5
A radioactive sample of Δₗ emits Δₗπ particles. If the half-life of Δₗ is 5.27 × 10¹ years, how many years will it take for the activity of the sample to decrease to 1/64 of its original value?
A. 1.38 × 10¹ years
B. 2.75 × 10¹ years
C. 5.27 × 10¹ years
D. 10.54 × 10¹ years
Question 6
A wave of frequency 100 Hz and wavelength 0.5 m is traveling through a medium. If the wave is reflected from a fixed \end, calculate the amplitude of the reflected wave.
A. 0.25 m
B. 0.5 m
C. 1 m
D. 2 m
Question 7
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 10 N, calculate the time period of the particle.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 8
A parallel plate capacitor has a capaci\tance of 4.2 µF. If a potential difference of 12 V is applied across the plates, what is the charge stored on the capacitor?
A. 5.1 µC
B. 5.2 µC
C. 5.3 µC
D. 5.4 µC
Question 9
A current of 5 A flows through a resistor of 10 Ω. What is the power dissipated in the resistor?
A. 50 W
B. 100 W
C. 200 W
D. 500 W
Question 10
A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If a vector B has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, calculate the magnitude of the resul\tant vector A + B.
A. 6.4 units
B. 7.2 units
C. 8 units
D. 9 units
Question 11
A simple harmonic motion has a period of $2\,\text{s}$ and an amplitude of $5\,\text{cm}$. If the motion starts from its equilibrium position, what is the maximum acceleration of the particle?
A. \frac{4\pi^2\cdot 5}{2^2}
B. \frac{4\pi^2\cdot 10}{2^2}
C. \frac{4\pi^2\cdot 15}{2^2}
D. \frac{4\pi^2\cdot 20}{2^2}
Question 12
A particle of mass 0.5 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 maximum speed of the particle.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 13
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 3.8 × 10¹ years. If the initial activity is 2.5 × 10¹ Bq, what is the activity after 1.2 × 10¹ years?
A. 1.1 × 10¹ Bq
B. 1.2 × 10¹ Bq
C. 1.3 × 10¹ Bq
D. 1.4 × 10¹ Bq
Question 14
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the potential energy of the particle at the equilibrium position.
A. 0.5 J
B. 1 J
C. 1.5 J
D. 2 J
Question 15
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 15 Ω
B. 20 Ω
C. 25 Ω
D. 30 Ω

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