POST UTME UI 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
A block of mass 3 kg is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 300 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum kinetic energy of the block.
A. 1 J
B. 2 J
C. 3 J
D. 4 J
Question 4
A circuit consists of a $10\,\Omega$ resistor, a $20\,\Omega$ resistor, and a $5\,\Omega$ resistor connected in series. If a voltage of $12\,\text{V}$ is applied across the circuit, what is the current flowing through the $5\,\Omega$ resistor?
A. \frac{12}{35}
B. \frac{12}{25}
C. \frac{12}{15}
D. \frac{12}{10}
Question 5
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 6
A projectile is launched from the ground with an initial velocity of $20\,\text{m/s}$ at an angle of $30^\circ$ above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. \frac{20^2\sin^2 30^\circ}{2\cdot 9.8}
B. \frac{20^2\sin^2 45^\circ}{2\cdot 9.8}
C. \frac{20^2\sin^2 60^\circ}{2\cdot 9.8}
D. \frac{20^2\sin^2 90^\circ}{2\cdot 9.8}
Question 7
A 100Ω resistor is connected in parallel to a 200Ω resistor. What is the total resis\tance in the circuit?
A. 50Ω
B. 66.7Ω
C. 100Ω
D. 200Ω
Question 8
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 9
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, calculate the activity of the sample after 20 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 10
A gas of $N$ molecules is enclosed in a container of volume $V$. If the temperature of the gas is $T$ and the pressure is $P$, which of the following equations is correct?
A. PV = NkT
B. PV = NkT^2
C. PV = NkT^3
D. PV = NkT^4
Question 11
A radioactive sample has a half-life of $10\,\text{years}$. If the initial activity is $100\,\text{Bq}$, what is the activity after $20\,\text{years}$?
A. 100\cdot \left\( \frac{1}{2}\right \)^2
B. 100\cdot \left\( \frac{1}{2}\right \)^3
C. 100\cdot \left\( \frac{1}{2}\right \)^4
D. 100\cdot \left\( \frac{1}{2}\right \)^5
Question 12
A light wave of wavelength 600nm is incident on a double-slit apparatus. If the dis\tance between the slits is 0.5mm, what is the angle of the first minimum?
A. 0.5°
B. 1°
C. 2°
D. 5°
Question 13
A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across it, what is the charge stored on each plate?
A. 25 μC
B. 50 μC
C. 100 μC
D. 200 μC
Question 14
A parallel plate capacitor has a capaci\tance of 5 µF. If a potential difference of 10 V is applied across the plates, what is the charge stored on each plate?
A. 50 µC
B. 50 µF
C. 50 µmF
D. 50 µC
Question 15
A particle of mass 2kg is moving in a circular path of radius 3m with a speed of 4m/s. What is the centripetal force acting on the particle?
A. 16N
B. 20N
C. 24N
D. 28N

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