POST UTME UNN 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to increase from $T_1$ to $T_2$. Assuming the gas is ideal and the process is isothermal, what is the new pressure $P_2$ of the gas?
A. \frac{P_1V}{T_1}
B. \frac{P_1V}{T_2}
C. \frac{P_2V}{T_1}
D. \frac{P_2V}{T_2}
Question 2
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force $F_{c,new}$?
A. \frac{2mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{r}
D. \frac{mv^2}{4r}
Question 3
A parallel plate capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The capaci\tance of the capacitor is 10 nF. What is the charge on the capacitor when a potential difference of 10 V is applied across it?
A. 0.1 C
B. 0.2 C
C. 0.3 C
D. 0.4 C
Question 4
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the 4 Ω resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 5
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force $F_{c,new}$?
A. \frac{2mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{r}
D. \frac{mv^2}{4r}
Question 6
A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \frac{\sqrt{k}x}{\sqrt{m}}
B. \frac{\sqrt{m}x}{\sqrt{k}}
C. \frac{\sqrt{k}x}{m}
D. \frac{\sqrt{m}x}{k}
Question 7
A parallel plate capacitor has a capaci\tance of 10 μF. If a voltage of 12 V is applied across the capacitor, what is the energy stored in the capacitor?
A. 0.12 J
B. 0.24 J
C. 0.36 J
D. 0.48 J
Question 8
A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \frac{\sqrt{k}x}{\sqrt{m}}
B. \frac{\sqrt{m}x}{\sqrt{k}}
C. \frac{\sqrt{k}x}{m}
D. \frac{\sqrt{m}x}{k}
Question 9
A photon has an energy of 2 eV. What is its wavelength?
A. 1.24 μm
B. 2.48 μm
C. 3.72 μm
D. 4.96 μm
Question 10
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 11
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, what is the maximum speed of the particle?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 12
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is the frequency of the oscillations?
A. 0.5 Hz
B. 1 Hz
C. 2 Hz
D. 5 Hz
Question 13
A gas is enclosed in a container with a movable piston. The gas is heated at cons\tant pressure, cau\sing its volume to increase. Which of the following statements is true about the process?
A. The temperature of the gas increases.
B. The internal energy of the gas increases.
C. The entropy of the gas decreases.
D. The gas expands against the external pressure.
Question 14
A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the object is moved 0.5 m closer to the lens, calculate the new image dis\tance.
A. 1.5 m
B. 1.75 m
C. 2.0 m
D. 2.25 m
Question 15
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a force of 5 N, calculate the angle between the force and the radius vector.
A. 30°
B. 45°
C. 60°
D. 75°

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