POST UTME NOUN 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal acceleration?
A. 2.0 m/s^2
B. 4.0 m/s^2
C. 6.0 m/s^2
D. 8.0 m/s^2
Question 2
A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. If the motion starts from its equilibrium position, what is the amplitude of the motion?
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 3
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 net force acting on the particle?
A. 16 N
B. 12 N
C. 20 N
D. 24 N
Question 4
A gas is contained in a cylinder of volume $V$ at a temperature $T$. If the gas is heated to a temperature $T_2$, what is the new volume of the gas?
A. V_1 \left\( \frac{T_2}{T_1} \right \)^{\frac{1}{\gamma}}
B. V_1 \left\( \frac{T_1}{T_2} \right \)^{\frac{1}{\gamma}}
C. V_1 \left\( \frac{T_2}{T_1} \right \)^{\gamma}
D. V_1 \left\( \frac{T_1}{T_2} \right \)^{\gamma}
Question 5
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subject to a centripetal force $F_c$, what is the magnitude of the force?
A. \frac{mv^2}{r}
B. \frac{r}{mv^2}
C. \frac{mv^2}{r^2}
D. \frac{r^2}{mv^2}
Question 6
A radioactive sample decays at a rate given by the equation $N(t)=N_0e^{-\lambda t}$, where $N(t)$ is the number of nuclei remaining at time $t$, $N_0$ is the initial number of nuclei, and $\lambda$ is the decay cons\tant. If the half-life of the sample is $T_{1/2}=10$ years, what is the value of $\lambda$?
A. \frac{\ln 2}{10}
B. \frac{10}{\ln 2}
C. \frac{\ln 2}{5}
D. \frac{5}{\ln 2}
Question 7
A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. If the amplitude of the motion is 1 m, what is the angular frequency?
A. 6 rad/s
B. 12 rad/s
C. 18 rad/s
D. 24 rad/s
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, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, what is the final pressure?
A. 2.5 atm
B. 3 atm
C. 3.5 atm
D. 4 atm
Question 10
A particle of mass $m$ is moving in a circular orbit of radius $r$ in a magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?
A. \frac{mv^2}{qr}
B. \frac{qr}{mv^2}
C. \frac{mv^2}{q^2r}
D. \frac{q^2r}{mv^2}
Question 11
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 50 V battery is connected across the combination, what is the current flowing through the 10 Ω resistor?
A. 2.5 A
B. 5 A
C. 7.5 A
D. 10 A
Question 12
A ray of light passes through a prism of angle 60°. If the angle of incidence is 30°, what is the angle of emergence?
A. 45°
B. 50°
C. 55°
D. 60°
Question 13
A coil of wire of radius 0.1 m and resis\tance 10 Ω is connected to a battery of emf 12 V. If the current in the coil is 2 A, what is the magnetic field at the center of the coil?
A. 0.5 T
B. 1 T
C. 2 T
D. 5 T
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of 2 H. If the circuit is connected to a switch, what is the current in the circuit when the switch is closed?
A. 3 A
B. 4 A
C. 6 A
D. 8 A
Question 15
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 hours, what is the activity after 4 hours?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq

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