POST UTME BABCOCK UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. What is the wavelength $\lambda$ of the wave?
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 2
A capacitor of capaci\tance $10\mu F$ is charged to a potential difference of $10\,V$. If the capacitor is then connected to a resistor of resis\tance $20\Omega$, what is the time cons\tant of the circuit?
A. 0.5\,s
B. 1\,s
C. 2\,s
D. 5\,s
Question 3
A circuit consists of a $10\Omega$ resistor, a $20\mu F$ capacitor, and a $50\mu H$ inductor in series. If the circuit is driven by a $10\,V$ AC source at a frequency of $100\,Hz$, what is the impedance of the circuit?
A. 10\Omega
B. 20\Omega
C. 30\Omega
D. 40\Omega
Question 4
A thermodynamic system undergoes a process from state A to state B. The change in internal energy is given by \( Delta U = Q - W \). If the system absorbs 500 J of heat and does 200 J of work, what is the change in internal energy?
A. -300 J
B. 300 J
C. -700 J
D. 700 J
Question 5
A block of mass 6 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 300 N/m. If the block is displaced by 0.3 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 3 m/s
B. 6 m/s
C. 9 m/s
D. 12 m/s
Question 6
A charged particle of mass 1 kg and charge 2 C is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a uniform electric field of 4 N/C, what is the magnitude of the electric force acting on the particle?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 7
A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the work done is 100 J, what is the change in internal energy?
A. -100 J
B. 100 J
C. 200 J
D. 300 J
Question 8
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° 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 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. What is the magnitude of the net force acting on the particle?
A. 12 N
B. 24 N
C. 48 N
D. 96 N
Question 10
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. Assuming negligible air resis\tance, find the time $t$ at which the particle reaches its maximum height.
A. \frac{v_0 \sin \theta}{g}
B. \frac{v_0 \cos \theta}{g}
C. \frac{v_0 \sin \theta}{g^2}
D. \frac{v_0 \cos \theta}{g^2}
Question 11
A gas at 300 K and 1 atm expands to 2 atm at cons\tant temperature. Calculate the final volume of the gas.
A. 0.5 m^3
B. 1 m^3
C. 2 m^3
D. 4 m^3
Question 12
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 uniform magnetic field of 2 T, what is the magnitude of the magnetic force acting on the particle?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 13
A simple harmonic motion has a period of $2\pi\,s$ and an amplitude of $5\,cm$. If the motion starts from its equilibrium position, what is the equation of motion?
A. y = 5\sin \frac{t}{2}
B. y = 5\cos \frac{t}{2}
C. y = 5\sin \frac{t}{2} + 5
D. y = 5\cos \frac{t}{2} + 5
Question 14
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 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 capacitor has a capaci\tance of 10 μF and is connected to a 12 V battery. What is the charge $Q$ stored on the capacitor?
A. 120 μC
B. 240 μC
C. 360 μC
D. 480 μC

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