POST UTME DELSU 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 2
A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the total energy of the particle at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 3
A p\endulum of length $L$ and mass $m$ is released from rest at an angle $\theta$ from the vertical. Assuming the p\endulum undergoes simple harmonic motion, what is the period $T$ of the p\endulum?
A. 2\pi\sqrt{\frac{L}{g}}
B. \pi\sqrt{\frac{L}{g}}
C. \frac{1}{2}\pi\sqrt{\frac{L}{g}}
D. \frac{1}{4}\pi\sqrt{\frac{L}{g}}
Question 4
A gas is heated from 20°C to 50°C at cons\tant pressure. If the initial volume of the gas is 2 L, calculate the final volume of the gas.
A. 4 L
B. 6 L
C. 8 L
D. 10 L
Question 5
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 6
A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased by 20 K, what is the new volume of the gas?
A. 2.4 L
B. 2.5 L
C. 2.6 L
D. 2.7 L
Question 7
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, what is the maximum kinetic energy of the particle?
A. 0.2 J
B. 0.4 J
C. 0.6 J
D. 0.8 J
Question 8
A capacitor with a capaci\tance of 10 μF is connected in series with a resistor of 20 Ω. If a voltage of 100 V is applied across the circuit, what is the time cons\tant of the circuit?
A. 0.2 s
B. 0.4 s
C. 0.6 s
D. 0.8 s
Question 9
A container of volume $V$ is filled with a gas at a temperature $T$ and a pressure $P$. If the temperature is increased to $T + \Delta T$ and the pressure is increased to $P + \Delta P$, what is the new volume $V'$ of the gas?
A. \frac{P + \Delta P}{T + \Delta T}
B. \frac{P}{T + \Delta T}
C. \frac{P + \Delta P}{T}
D. \frac{P}{T + \Delta T}
Question 10
A uniform magnetic field of strength 2.0 T is applied to a coil of wire with 100 turns and a radius of 0.05 m. If the coil is rotated at a frequency of 50 Hz, what is the maximum value of the induced emf?
A. 10 V
B. 20 V
C. 30 V
D. 40 V
Question 11
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is the magnitude of the force acting on it?
A. \frac{mv^2}{r}
B. \frac{k}{r^2}
C. \frac{mv^4}{r^3}
D. \frac{mv^2}{r^2}
Question 12
A 2.0 L container holds 1.5 mol of an ideal gas at 300 K. The gas is then compressed to 0.5 L while maintaining a cons\tant temperature. Calculate the final pressure of the gas.
A. 2.0 atm
B. 4.0 atm
C. 6.0 atm
D. 8.0 atm
Question 13
A photon of wavelength 400 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?
A. 1.5 eV
B. 2.0 eV
C. 2.5 eV
D. 3.0 eV
Question 14
A gas is compressed from an initial volume of 10 L to a final volume of 5 L. If the initial pressure is 2 atm and the final pressure is 4 atm, what is the work done on the gas?
A. 20 J
B. 40 J
C. 60 J
D. 80 J
Question 15
A 10 V AC source is connected in series with a 20 Ω resistor and a 5 mH inductor. If the frequency of the AC source is 100 Hz, what is the phase angle between the voltage and current?
A. 30°
B. 45°
C. 60°
D. 90°

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