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 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 2
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 3
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 4
A lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. If the object is moved to a dis\tance of 40 cm from the lens, what is the new image dis\tance?
A. 60 cm
B. 80 cm
C. 100 cm
D. 120 cm
Question 5
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 6
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 7
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 8
A lens has a focal length of $f = 20 cm$. If an object is placed at a dis\tance $u = 30 cm$ from the lens, what is the image dis\tance?
A. -10 cm
B. -20 cm
C. -30 cm
D. -40 cm
Question 9
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 10
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 11
A light ray passes through a convex lens of focal length 20 cm. If the object dis\tance is 30 cm, what is the image dis\tance?
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 12
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 13
A parallel plate capacitor has a capaci\tance of $C = 2 \mu F$. If a potential difference of $V = 10 V$ is applied across the plates, what is the charge stored on the capacitor?
A. 20 \mu C
B. 40 \mu C
C. 60 \mu C
D. 80 \mu C
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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