POST UTME UNILAG 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 2
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The magnetic field $B$ is perp\endicular to the plane of the particle's motion. What is the magnitude of the force $F$ exerted on the particle by the magnetic field?
A. mv^2/r
B. mv^2/r^2
C. mv/r
D. mv^2/r^2
Question 3
A light ray passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $20^\circ$, what is the angle of deviation?
A. 50^\circ
B. 60^\circ
C. 70^\circ
D. 80^\circ
Question 4
A 2 kg block of ice at 0°C is placed in a 10°C water bath. Assuming no heat loss to the surroundings, what is the final temperature of the ice block?
A. 0°C
B. 5°C
C. 10°C
D. 15°C
Question 5
A projectile is launched from the ground with an initial velocity $v_0 = 20 , \text{m/s}$ at an angle $\theta = 30^circ$ above the horizontal. The projectile lands on the ground after $t = 2 , \text{s}$. What is the maximum height reached by the projectile?
A. \( 5.0 , \text{m} \)
B. \( 10.0 , \text{m} \)
C. \( 15.0 , \text{m} \)
D. \( 20.0 , \text{m} \)
Question 6
A beam of light is incident on a mirror at an angle $\theta_i$. What is the angle $\theta_r$ of the reflected ray?
A. \theta_i
B. \theta_i + 90^\circ
C. \theta_i - 90^\circ
D. \theta_i + 180^\circ
Question 7
A 100 V AC supply is connected to a 50 Ω resistor. If the current is 2 A, what is the power consumed by the resistor?
A. 100 W
B. 200 W
C. 300 W
D. 400 W
Question 8
A light source is placed 1 m away from a convex lens with a focal length of 0.5 m. If the light source is moved 0.2 m closer to the lens, determine the new image dis\tance.
A. 0.5 m
B. 0.6 m
C. 0.7 m
D. 0.8 m
Question 9
A 10 Ω resistor is connected in series with a 20 V battery. If the current through the resistor is 0.2 A, what is the power dissipated by the resistor?
A. 2 W
B. 4 W
C. 5 W
D. 10 W
Question 10
A capacitor is connected to a battery of voltage $V$. If the capaci\tance is $C$ and the charge on the capacitor is $Q$, what is the value of the energy stored?
A. \frac{Q^2}{2C}
B. \frac{CV^2}{2}
C. \frac{QV}{2}
D. \frac{CV}{2}
Question 11
A magnetic field of 0.5 T is applied to a current-carrying wire with a current of 2 A. If the wire is 0.2 m long, determine the force exerted on the wire.
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 12
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, determine the current flowing through the 5 Ω resistor.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.0 A
Question 13
A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the maximum speed $v_{max}$ of the block as it oscillates?
A. \sqrt{\frac{kx^2}{m}}
B. \frac{kx^2}{m}
C. \frac{mx^2}{k}
D. \frac{kx}{\sqrt{m}}
Question 14
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 $F_c = \frac{mv^2}{r}$. What is the magnitude of the acceleration of the particle?
A. \( \frac{v}{r} \)
B. \( \frac{v^2}{r} \)
C. \( \frac{v^3}{r^2} \)
D. \( \frac{v^4}{r^3} \)
Question 15
A 5 kg object is moving in a circular path of radius 3 m with a cons\tant speed of 2 m/s. What is the magnitude of the force acting on the object?
A. 10 N
B. 12 N
C. 15 N
D. 20 N

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