POST UTME LAUTECH 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 5 kg block is moving at 10 m/s on a frictionless surface. If a force of 20 N is applied to the block, calculate the acceleration of the block.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 2
A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 3
A ray of light passes from air into a glass slab with a re\fractive index $n$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, what is the relationship between $\theta_i$ and $\theta_r$?
A. \frac{\sin \theta_i}{\sin \theta_r} = \frac{1}{n}
B. \frac{\sin \theta_i}{\sin \theta_r} = n
C. \frac{\sin \theta_i}{\sin \theta_r} = \frac{n}{1}
D. \frac{\sin \theta_i}{\sin \theta_r} = \frac{1}{1}
Question 4
A particle of mass 2.0 kg is moving in a circular path of radius 1.5 m with a speed of 4.0 m/s. What is the magnitude of the force acting on the particle?
A. 10.0 N
B. 20.0 N
C. 30.0 N
D. 40.0 N
Question 5
A 10 μF capacitor is connected in parallel with a 20 μF capacitor. What is the equivalent capaci\tance?
A. 10 μF
B. 20 μF
C. 30 μF
D. 40 μF
Question 6
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
Question 7
A beam of light is incident on a glass slab at an angle of 30°. The re\fractive index of the glass is 1.5. Calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 8
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns and a resis\tance of 10 Ω. If the coil is connected to a 12 V battery, calculate the induced emf in the coil.
A. 0.6 V
B. 1.2 V
C. 2.4 V
D. 3.6 V
Question 9
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 force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 10
A parallel plate capacitor has a capaci\tance of $C = 2 \mu F$ and is charged to a potential difference of $V = 10 V$. If the dis\tance between the plates is doubled to $2d$, what is the new capaci\tance $C_{new}$?
A. 4 \mu F
B. 2 \mu F
C. 1 \mu F
D. 0.5 \mu F
Question 11
A ray of light 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. 30°
C. 40°
D. 50°
Question 12
A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, 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 13
A magnetic field $B$ is directed perp\endicular to the plane of a circular loop of wire with a radius $r$. The loop carries a current $I$ and has a resis\tance $R$. If the magnetic field is increased to $2B$, what is the new induced emf $\epsilon_{new}$?
A. 2\pi r^2 I R
B. \pi r^2 I R
C. 2\pi r^2 I B
D. \pi r^2 I B
Question 14
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 15
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?
A. 4mv^2/r
B. 2mv^2/r
C. mv^2/r
D. mv^4/r

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