POST UTME UNIBEN 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F
Question 2
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 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 time taken for the particle to reach its maximum speed.
A. 0.1 s
B. 0.2 s
C. 0.3 s
D. 0.4 s
Question 3
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, calculate the potential energy stored in the spring.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 4
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 4 Ω resistor?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 5
A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m. If the current is 5 A, calculate the force on the wire.
A. 0.5 N
B. 1 N
C. 1.5 N
D. 2 N
Question 6
A gas at 300 K expands from 0.05 m^3 to 0.1 m^3. Calculate the work done by the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 7
A 100 W light bulb is connected to a 120 V power source. What is the current drawn by the light bulb?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 8
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 subject to a centripetal force of 12 N, calculate the time taken by the particle to complete one revolution.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 9
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 10
A heat engine operates between the temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.33
C. 0.40
D. 0.50
Question 11
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?
A. 30 μF
B. 40 μF
C. 50 μF
D. 60 μF
Question 12
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 1000 Bq, what is the activity after 15 days?
A. 250 Bq
B. 500 Bq
C. 1000 Bq
D. 2000 Bq
Question 13
A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, calculate the activity after 10 years.
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 14
A 20 μF capacitor is connected in series with a 30 Ω resistor and a 60 V battery. What is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 15
A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. If the pressure is increased to 2 atm and the temperature is decreased to 200 K, calculate the new volume of the gas.
A. 1 L
B. 2 L
C. 3 L
D. 4 L

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