POST UTME NOUN 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
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 force of 12 N, what is the magnitude of the force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 3
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 4 is inserted between the plates, what is the new capaci\tance?
A. 6 μF
B. 8 μF
C. 10 μF
D. 12 μF
Question 4
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?
A. 5 m
B. 10 m
C. 15 m
D. 20 m
Question 5
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $R$ from the origin, what is the value of $\theta$?
A. \tan^{-1} \frac{R}{v_0^2}
B. \tan^{-1} \frac{v_0^2}{R}
C. \tan^{-1} \frac{R}{v_0}
D. \tan^{-1} \frac{v_0}{R}
Question 6
A 1000 mL flask contains 500 mL of water and 500 mL of ethanol. If the temperature of the mixture is 20°C, what is the partial pressure of water vapor in the flask?
A. 10 kPa
B. 20 kPa
C. 30 kPa
D. 40 kPa
Question 7
A convex lens of focal length 20 cm forms an image of a dis\tant object on a screen. If the object is moved 10 cm closer to the lens, what is the new image dis\tance?
A. 15 cm
B. 20 cm
C. 25 cm
D. 30 cm
Question 8
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 50 V battery is connected across the combination, what is the current flowing through the 10 Ω resistor?
A. 2.5 A
B. 5 A
C. 7.5 A
D. 10 A
Question 9
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 force of 12 N, what is the magnitude of the net force acting on the particle?
A. 16 N
B. 12 N
C. 20 N
D. 24 N
Question 10
A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. If the amplitude of the motion is 1 m, what is the angular frequency?
A. 6 rad/s
B. 12 rad/s
C. 18 rad/s
D. 24 rad/s
Question 11
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 2 Ω resistor connected in series. What is the current through the 4 Ω resistor?
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 12
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, what is the final pressure?
A. 2.5 atm
B. 3 atm
C. 3.5 atm
D. 4 atm
Question 13
A block of mass 5 kg is placed on a horizontal surface. If the coefficient of static friction between the block and the surface is 0.5, what is the maximum force that can be applied to the block without cau\sing it to move?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 14
A gas is contained in a cylinder of volume $V$ at a temperature $T$. If the gas is heated to a temperature $T_2$, what is the new volume of the gas?
A. V_1 \left\( \frac{T_2}{T_1} \right \)^{\frac{1}{\gamma}}
B. V_1 \left\( \frac{T_1}{T_2} \right \)^{\frac{1}{\gamma}}
C. V_1 \left\( \frac{T_2}{T_1} \right \)^{\gamma}
D. V_1 \left\( \frac{T_1}{T_2} \right \)^{\gamma}
Question 15
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 force exerted on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N

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