POST UTME FUTA 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A ray of light passes from air into a glass slab of re\fractive index $n = 1.5$. If the angle of incidence is $30^\circ$, what is the angle of re\fraction?
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
Question 2
A gas at $25^circ$C is heated to $100^circ$C. If the initial volume is $2.5\text{ L}$, what is the final volume if the gas expands according to Charles' Law?
A. 3.125 L
B. 4.1667 L
C. 5.2083 L
D. 6.25 L
Question 3
A particle of mass $m$ is moving in a straight line with an initial velocity $v_0$ and an initial position $x_0$. If the particle experiences a cons\tant acceleration $a$, what is the position of the particle at time $t$?
A. $x_0 + v_0 t + \frac{1}{2} a t^2$
B. $x_0 + v_0 t - \frac{1}{2} a t^2$
C. $x_0 - v_0 t + \frac{1}{2} a t^2$
D. $x_0 - v_0 t - \frac{1}{2} a t^2$
Question 4
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle experiences a centripetal acceleration of 4 m/s^2, what is its angular velocity?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 5
A heat engine operates between two reservoirs at temperatures $T_1 = 500\text{ K}$ and $T_2 = 300\text{ K}$. If the engine produces 500 J of work per cycle, what is the efficiency of the engine?
A. 25%
B. 30%
C. 35%
D. 40%
Question 6
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{v}{r}
C. \frac{mv^2}{r^2}
D. \frac{mv^2}{r}
Question 7
A simple harmonic motion has a maximum displacement of 5 m and a period of 2 s. What is the angular frequency?
A. 1.25 rad/s
B. 2.5 rad/s
C. 3.75 rad/s
D. 5 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 subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 9
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A 60 Hz AC generator produces an emf of 120 V. If the generator is connected to a 10 Ω resistor, what is the maximum current in the circuit?
A. 10 A
B. 15 A
C. 17 A
D. 20 A
Question 11
A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the maximum kinetic energy of the block?
A. $\frac{1}{2} k x^2$
B. $k x^2$
C. $\frac{1}{2} m x^2$
D. $m x^2$
Question 12
A ray of light 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. 10°
B. 12°
C. 15°
D. 18°
Question 13
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle experiences a centripetal force $F_c = \frac{mv^2}{r}$, what is the work done by this force as the particle moves through an angle $\theta$?
A. $F_c r \sin \theta$
B. $F_c r \cos \theta$
C. $F_c r \tan \theta$
D. $F_c r csc \theta$
Question 14
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 15
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. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A

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