POST UTME FUTO 2022 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 circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 0.5 A, what is the voltage across the 6 Ω resistor?
A. 3 V
B. 6 V
C. 9 V
D. 12 V
Question 3
A resistor of 10 Ω and an inductor of 20 mH are connected in series. If a voltage source of 20 V is applied across the circuit, calculate the current in the circuit after 5 seconds.
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 4
A capacitor of capaci\tance 2 μF is connected in series with a resistor of resis\tance 10 kΩ. If a voltage of 20 V is applied across the circuit, what will be the current flowing through the circuit?
A. 2 mA
B. 4 mA
C. 6 mA
D. 8 mA
Question 5
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor. If the circuit is connected at time $t = 0$, find the current $I(t)$ in the circuit as a function of time $t$.
A. I(t) = \frac{12}{4 + 6}
B. I(t) = \frac{12}{4 - 6}
C. I(t) = \frac{12}{4 + 6}
D. I(t) = \frac{12}{4 - 6}
Question 6
A particle of mass $m$ is projected from the origin with an initial velocity $mathbf{v}_0 = \( v_{0x}, v_{0y} \)$. If the particle experiences a cons\tant acceleration $mathbf{a} = \( a_x, a_y \)$, find the position vector $mathbf{r}(t)$ of the particle as a function of time $t$.
A. \mathbf{r}(t) = \left\( v_{0x}t + \frac{1}{2}a_xt^2, v_{0y}t + \frac{1}{2}a_yt^2\right \)
B. \mathbf{r}(t) = \left\( v_{0x}t - \frac{1}{2}a_xt^2, v_{0y}t - \frac{1}{2}a_yt^2\right \)
C. \mathbf{r}(t) = \left\( v_{0x}t + \frac{1}{2}a_xt^2, v_{0y}t - \frac{1}{2}a_yt^2\right \)
D. \mathbf{r}(t) = \left\( v_{0x}t - \frac{1}{2}a_xt^2, v_{0y}t + \frac{1}{2}a_yt^2\right \)
Question 7
A 5 kg block is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block in the direction of motion, what will be its final velocity after 2 seconds?
A. 4 m/s
B. 6 m/s
C. 8 m/s
D. 10 m/s
Question 8
A heat engine operates between two temperatures 300 K and 600 K. If the efficiency of the engine is 30%, what will be the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 9
A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?
A. 3 m/s^2
B. 5 m/s^2
C. 7 m/s^2
D. 9 m/s^2
Question 10
A force of 10 N acts on a body of mass 5 kg. If the body is moving in a circular path of radius 2 m, what is the magnitude of the centripetal acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 11
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). If the probability of finding the particle in the region x = 0 to x = 1 is 0.5, what is the value of α?
A. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 12
A ray of light passes through a prism with apex angle $A$ and re\fractive index $n$. If the angle of incidence is $\theta_i$, find the angle of re\fraction $\theta_r$.
A. \theta_r = \arc\sin\left\( \frac{n\sin\theta_i}{n\sin A}\right \)
B. \theta_r = \arc\sin\left\( \frac{n\sin A}{n\sin\theta_i}\right \)
C. \theta_r = \arc\cos\left\( \frac{n\sin\theta_i}{n\sin A}\right \)
D. \theta_r = \arc\cos\left\( \frac{n\sin A}{n\sin\theta_i}\right \)
Question 13
A car travels from point A to point B with an average speed of 80 km/h. If the dis\tance between points A and B is 320 km, what is the time taken by the car to travel from point A to point B?
A. 4 hours
B. 6 hours
C. 8 hours
D. 10 hours
Question 14
A charged particle of charge 2 μC is moving with a velocity of 5 m/s in a magnetic field of strength 0.5 T. If the particle is moving perp\endicular to the magnetic field, what will be the force acting on the particle?
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 15
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

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