POST UTME CHRISTOPHER UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. What is the magnitude of the force acting on the particle?
A. \( 10 , \text{N} \)
B. \( 20 , \text{N} \)
C. \( 30 , \text{N} \)
D. \( 40 , \text{N} \)
Question 2
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 3
A light ray passes from air into a glass slab of thickness 6 cm and re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 4
A body of mass $m$ is at rest on a horizontal surface. If a horizontal force $F$ is applied to the body, what is the acceleration of the body?
A. \( \frac{F}{m} \)
B. \( \frac{m}{F} \)
C. \( \frac{F}{m^2} \)
D. \( \frac{m^2}{F} \)
Question 5
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the expectation value of its position?
A. \( \frac{L}{2} \)
B. \( \frac{L}{4} \)
C. \( \frac{3L}{4} \)
D. \( \frac{L}{4} pm \frac{L}{2} \)
Question 6
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 100 Ω. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?
A. 1 ms
B. 10 ms
C. 100 ms
D. 1000 ms
Question 7
A charged particle of charge 5 μC 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 magnetic field of strength 0.5 T, what is the magnitude of the force acting on the particle?
A. 0.25 N
B. 0.5 N
C. 1 N
D. 2 N
Question 8
A convex mirror has a focal length of -20 cm. A point object is placed 30 cm in front of the mirror. Calculate the position and magnification of the image formed.
A. Real and inverted
B. Virtual and erect
C. Real and erect
D. Virtual and inverted
Question 9
A block of mass 5 kg is placed on a frictionless surface. A horizontal force of 20 N is applied to the block. What is the acceleration of the block?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 10
A point charge of +2 μC is placed at the origin of a coordinate system. What is the electric potential at a point 3 m away from the charge, if the electric potential at infinity is taken to be zero?
A. \( 9 \times 10^6 , \text{V} \)
B. \( 3 \times 10^6 , \text{V} \)
C. \( 1.5 \times 10^6 , \text{V} \)
D. \( 6 \times 10^6 , \text{V} \)
Question 11
A 10 μF capacitor is charged to a potential difference of 100 V. Calculate the energy stored in the capacitor.
A. 0.5 J
B. 1 J
C. 2 J
D. 5 J
Question 12
A 100 g block of ice at 0°C is heated to 80°C. If the specific heat capacity of ice is 2.1 J/g°C, calculate the energy required to heat the ice.
A. 840 J
B. 8400 J
C. 84000 J
D. 840000 J
Question 13
A body of mass 5 kg is moving with a velocity of 10 m/s. It is acted upon by a force of 20 N. Calculate the acceleration of the body.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 14
A container of volume $V$ is filled with a fluid of density $\rho$. If the container is subjected to a pressure difference $\Delta P$, what is the force exerted on the container?
A. \( V\rho\Delta P \)
B. \( V\Delta P\rho \)
C. \( \frac{V\Delta P}{\rho} \)
D. \( \frac{V\rho}{\Delta P} \)
Question 15
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 μF. What is the charge on the plates when a potential difference of 5 V is applied across them?
A. \( 5 \times 10^{-5} , \text{C} \)
B. \( 10^{-5} , \text{C} \)
C. \( 2 \times 10^{-5} , \text{C} \)
D. \( 15 \times 10^{-5} , \text{C} \)

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