POST UTME IMS U 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A nucleus of mass number 20 has a binding energy of 150 MeV. Calculate the binding energy per nucleon.
A. 7.5 MeV
B. 8 MeV
C. 8.5 MeV
D. 9 MeV
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, calculate the acceleration of the particle.
A. 0.5 m/s^2
B. 1 m/s^2
C. 1.5 m/s^2
D. 2 m/s^2
Question 3
A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 4
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?
A. The volume of the gas will decrease.
B. The volume of the gas will increase.
C. The volume of the gas will remain cons\tant.
D. The volume of the gas will increase and then decrease.
Question 5
A beam of light is incident on a prism with an angle of incidence $i = 30^circ$. If the re\fractive index of the prism is $n = 1.5$, what is the angle of re\fraction $r$?
A. \( r = i \)
B. \( r = 2i \)
C. \( r = \sin^{-1} left\( \frac{n \sin i}{n + \sin i} \right \ \) )
D. \( r = \sin^{-1} left\( \frac{n \sin i}{n - \sin i} \right \ \) )
Question 6
A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{R}$, what is the work done by this force as the particle moves through an angle $\theta$?
A. \( W = \frac{1}{2}mv^2\( 1 - \cos\theta \ \) )
B. \( W = \frac{1}{2}mv^2\( 1 + \cos\theta \ \) )
C. \( W = mv^2\( 1 - \cos\theta \ \) )
D. \( W = mv^2\( 1 + \cos\theta \ \) )
Question 7
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, calculate the voltage across the 6 Ω resistor.
A. 8 V
B. 10 V
C. 12 V
D. 14 V
Question 8
A 100 µF capacitor is connected in series with a 200 µF capacitor and a 20 µF resistor. If a 10 V AC source is applied across the circuit, what is the current through the circuit?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 9
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction u\sing Snell's law.
A. 18°
B. 22°
C. 25°
D. 28°
Question 10
A particle of mass 2 kg is attached to a spring with spring cons\tant 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 kinetic energy of the particle when it has moved 0.1 m from its equilibrium position.
A. 0.5 J
B. 1.0 J
C. 1.5 J
D. 2.0 J
Question 11
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 12
A light ray is incident on a mirror with an angle of incidence $i = 45^circ$. If the mirror is a concave mirror with a focal length $f = -10 , \text{cm}$, what is the angle of reflection $r$?
A. \( r = i \)
B. \( r = 2i \)
C. \( r = \sin^{-1} left\( \frac{n \sin i}{n + \sin i} \right \ \) )
D. \( r = \sin^{-1} left\( \frac{n \sin i}{n - \sin i} \right \ \) )
Question 13
A gas occupies a volume of 2.0 L at a pressure of 1.0 atm. What is the pressure of the gas when its volume is increased to 4.0 L?
A. 0.25 atm
B. 0.50 atm
C. 0.75 atm
D. 1.0 atm
Question 14
A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. What is the speed of the block when it passes through its equilibrium position?
A. 0.20 m/s
B. 0.40 m/s
C. 0.60 m/s
D. 0.80 m/s
Question 15
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the force acting on the particle?
A. m v^2 / r
B. m v^2 / (2 r)
C. 2 m v^2 / r
D. 3 m v^2 / r

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