POST UTME FUTA 2019 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 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 2
A gas is enclosed in a container of volume $V$ at a temperature $T$. If the gas is compressed to a volume $V/2$, what is the change in the pressure of the gas?
A. \( \Delta P = \frac{nRT}{V} \Delta V \)
B. \( \Delta P = \frac{nRT}{V} \)
C. \( \Delta P = \frac{nRT\Delta V}{V} \)
D. \( \Delta P = \frac{nRT}{2V} \Delta V \)
Question 3
A 5 Ω resistor is connected in series with a 20 Ω resistor and a 10 μF capacitor. What is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.3 s
D. 0.4 s
Question 4
A 2 kg object is moving in a circular path with a cons\tant speed of 4 m/s. What is the magnitude of the net force acting on the object?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A Carnot engine has an efficiency of 30%. If the temperature of the hot reservoir is 500 K, calculate the temperature of the cold reservoir.
A. 200 K
B. 250 K
C. 300 K
D. 350 K
Question 6
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the frequency of the radiation emitted by the particle as it moves through the magnetic field?
A. \( f = \frac{qB}{2\pi m} \)
B. \( f = \frac{qB}{4\pi m} \)
C. \( f = \frac{qB}{6\pi m} \)
D. \( f = \frac{qB}{8\pi m} \)
Question 7
A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?
A. 236
B. 238
C. 240
D. 242
Question 8
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 9
A 10 μF capacitor is connected in parallel with a 20 μF capacitor. What is the equivalent capaci\tance of the circuit?
A. 10 μF
B. 20 μF
C. 30 μF
D. 40 μF
Question 10
A magnetic field of strength $B$ is directed along the $z$-axis. A current of $I$ flows in a circular loop of radius $r$ in the $xy$-plane. What is the magnitude of the magnetic moment of the loop?
A. I \pi r^2
B. I \pi r
C. I r^2
D. I r
Question 11
A point charge of +2 μC is placed at the origin of a coordinate system. What is the electric potential at a point 0.5 m away from the charge?
A. 100 V
B. 200 V
C. 300 V
D. 400 V
Question 12
A thermodynamic system undergoes a process from state A to state B. If the change in internal energy is 100 J and the work done is 50 J, what is the heat transferred during the process?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 13
A solid sphere of radius $R$ is made of a material with density $\rho$. It is susp\ended in a fluid of density $sigma$. The sphere is in equilibrium, and the force of buoyancy is equal to the weight of the sphere. What is the depth of the center of the sphere below the surface of the fluid?
A. R
B. \frac{R}{2}
C. \frac{2R}{3}
D. \frac{3R}{4}
Question 14
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, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 15
A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium with a speed $v$. If the wave is reflected from a surface, what is the frequency of the reflected wave?
A. \( f' = f \)
B. \( f' = 2f \)
C. \( f' = \frac{f}{2} \)
D. \( f' = \frac{f}{3} \)

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