POST UTME IGBINEDION UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass $m$ is placed on a frictionless surface and connected to a horizontal spring with a force cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x$ and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \frac{\sqrt{k}}{m}x
B. \frac{\sqrt{k}}{m}x^2
C. \frac{\sqrt{k}}{m}x^3
D. \frac{\sqrt{k}}{m}x^4
Question 2
A 10 V battery is connected to a 2 kΩ resistor in series with a 4 kΩ resistor. Calculate the current in the circuit.
A. 0.50 mA
B. 1.0 mA
C. 2.0 mA
D. 4.0 mA
Question 3
A uniform solid sphere of radius $R$ and mass $M$ is floating in a liquid of density $\rho$. The sphere is partially submerged in the liquid, with the volume of the submerged part being $V$. The weight of the sphere is balanced by the buoyant force exerted by the liquid. If the density of the sphere is $sigma$, determine the depth of the center of the sphere below the surface of the liquid.
A. R
B. 2R
C. 3R
D. 4R
Question 4
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 5
A block of mass 5 kg 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 then 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 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 magnetic field of 2 T, what is the magnitude of the magnetic force acting on it?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 7
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 8
A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the magnitude of the force exerted by the spring?
A. 10 N
B. 15 N
C. 20 N
D. 25 N
Question 9
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the plates are then separated by a dis\tance of 5 cm, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 10
A 0.50 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.10 m from its equilibrium position and released from rest. Calculate the frequency of the block.
A. 1.0 Hz
B. 2.0 Hz
C. 4.0 Hz
D. 8.0 Hz
Question 11
A gas at 300 K expands from 1.0 L to 2.0 L against a cons\tant external pressure of 1.0 atm. Calculate the work done by the gas.
A. -2.0 J
B. -1.0 J
C. 1.0 J
D. 2.0 J
Question 12
A particle of mass 2 kg is moving in a circular orbit of radius 3 m with a 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 pi ) N
B. ( 16 pi ) N
C. ( 24 pi ) N
D. ( 32 pi ) N
Question 13
A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. If the capaci\tance is 10 μF, what is the charge stored on the capacitor when a potential difference of 5 V is applied?
A. ( 50 ) μC
B. ( 100 ) μC
C. ( 150 ) μC
D. ( 200 ) μC
Question 14
A coil of wire with $N$ turns and radius $r$ carries a current $I$. The coil is placed in a uniform magnetic field of strength $B$ directed perp\endicular to the plane of the coil. Determine the torque experienced by the coil.
A. N I B A
B. N I B r
C. N I B r^2
D. N I B r^3
Question 15
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2 eV, what is the maximum kinetic energy of the emitted electron?
A. 1 eV
B. 2 eV
C. 3 eV
D. 4 eV

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