POST UTME FUTA 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 10 mH inductor is connected to a 12 V battery. Calculate the energy stored in the inductor.
A. 0.06 J
B. 0.12 J
C. 0.24 J
D. 0.48 J
Question 2
A 100 μC point charge is placed at the center of a spherical surface of radius 0.1 m. What is the electric flux through the surface?
A. 10^4 Nm^2/C
B. 10^5 Nm^2/C
C. 10^6 Nm^2/C
D. 10^7 Nm^2/C
Question 3
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. 5 rad/s
B. 10 rad/s
C. 15 rad/s
D. 20 rad/s
Question 4
A ray of light passes from air into a glass slab at an angle of incidence of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 5
A 1000 J of heat is transferred to a system at 300 K. Calculate the change in entropy of the system.
A. 3.33 J/K
B. 6.67 J/K
C. 10 J/K
D. 13.33 J/K
Question 6
A gas is heated from 20°C to 100°C at cons\tant pressure. If the initial volume is 2 L, what is the final volume?
A. 4 L
B. 5 L
C. 6 L
D. 8 L
Question 7
A heat engine operates between two reservoirs at temperatures $T_1 = 500 K$ and $T_2 = 300 K$. The engine has an efficiency of $40%$. What is the temperature of the hot reservoir?
A. 600 K
B. 650 K
C. 700 K
D. 750 K
Question 8
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 20 μF
B. 5 μF
C. 10 μF
D. 2.5 μF
Question 9
A radioactive sample decays at a rate of 0.05% per hour. If the initial activity is 1000 Bq, what is the activity after 5 hours?
A. 900 Bq
B. 950 Bq
C. 1000 Bq
D. 1050 Bq
Question 10
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 11
A gas occupies a volume of 2.00 L at a pressure of 1.00 atm and a temperature of 20.0°C. If the pressure is increased to 2.00 atm and the temperature is increased to 40.0°C, what is the new volume of the gas?
A. 1.00 L
B. 2.00 L
C. 3.00 L
D. 4.00 L
Question 12
A 5.00 g sample of a gas is collected over water at a temperature of 20.0°C and a pressure of 1.00 atm. If the vapor pressure of water at 20.0°C is 2.00 kPa, what is the partial pressure of the gas?
A. 0.500 atm
B. 1.00 atm
C. 1.50 atm
D. 2.00 atm
Question 13
A radioactive sample of Δₗ decays into Δₘ with a half-life of 5.27 years. If the initial activity of the sample is 2.00 mCi, what is the activity of the sample after 10.5 years?
A. 0.500 mCi
B. 1.00 mCi
C. 1.50 mCi
D. 2.00 mCi
Question 14
A vector $\vec{a}$ has a magnitude of $5$ units and makes an angle of $30^\circ$ with the positive $x$-axis. What is the $y$-component of the vector?
A. 2.5
B. 3.5
C. 4.5
D. 5.5
Question 15
A block of mass 3 kg is attached to a horizontal spring with a force cons\tant of 10 N/m. If the block is displaced by 2 m from its equilibrium position, find the potential energy stored in the spring.
A. 20 J
B. 30 J
C. 40 J
D. 50 J

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