POST UTME ESUT 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum velocity of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 2
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 circuit?
A. 1.2 A
B. 2.4 A
C. 3.6 A
D. 4.8 A
Question 3
A sound wave with a frequency of 200 Hz has a maximum displacement of 1 mm. What is the amplitude of the wave?
A. 0.1 mm
B. 0.5 mm
C. 1 mm
D. 5 mm
Question 4
A heat engine operates between two temperatures, 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 5
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity of the sample after 20 minutes?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 6
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 velocity.
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 7
A block of mass 5 kg is placed on a horizontal surface with a coefficient of friction of 0.5. If a horizontal force of 20 N is applied to the block, calculate the acceleration of the block.
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 8
A photon has an energy of 2 eV. What is its momentum?
A. 0.1 kg m/s
B. 0.2 kg m/s
C. 0.3 kg m/s
D. 0.4 kg m/s
Question 9
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 10
A parallel plate capacitor has a capaci\tance of 10 μF and is connected to a 12 V battery. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 20 μF
B. 15 μF
C. 10 μF
D. 5 μF
Question 11
A convex lens of focal length f = 10 cm is placed in contact with a concave lens of focal length f' = -20 cm. A parallel beam of light is incident on the convex lens. What is the nature of the image formed by the combination of the two lenses?
A. Real and inverted
B. Virtual and erect
C. Real and erect
D. Virtual and inverted
Question 12
A uniform solid sphere of mass M and radius R is floating in a liquid of density δ. If the sphere is displaced slightly from its equilibrium position, it will oscillate about its equilibrium position with a time period T. If the density of the sphere is 2 times that of the liquid, what is the ratio of T to the time period T0 of a similar sphere of the same mass and radius floating in a vacuum?
A. 1/\sqrt{2}
B. \sqrt{2}
C. 2
D. \sqrt{2}/2
Question 13
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the temperature of the high-temperature reservoir?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 14
A current of $2\,\text{A}$ flows through a resistor of resis\tance $10\,\Omega$. What is the power dissipated by the resistor?
A. 20\,\text{W}
B. 40\,\text{W}
C. 60\,\text{W}
D. 80\,\text{W}
Question 15
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subject to a force of 20 N, what is 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

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