POST UTME ESUT 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Calculate 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 body is moving with a uniform acceleration of 2 m/s². If the initial velocity of the body is 4 m/s, calculate the velocity of the body after 5 s.
A. 10 m/s
B. 12 m/s
C. 14 m/s
D. 16 m/s
Question 3
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the energy levels are given by $E_n = \frac{n^2 pi^2 hbar^2}{2mL^2}$, what is the ratio of the energy of the second excited state to the ground state?
A. \( \frac{9}{1} \)
B. \( \frac{4}{1} \)
C. \( \frac{9}{4} \)
D. \( \frac{16}{9} \)
Question 4
A lens of focal length 0.2 m is used to form an image of an object 0.5 m away. Calculate the magnification of the image.
A. 2
B. 3
C. 4
D. 5
Question 5
A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?
A. 300 m/s
B. 400 m/s
C. 500 m/s
D. 600 m/s
Question 6
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. Calculate the speed of the sound wave.
A. 300 m/s
B. 400 m/s
C. 500 m/s
D. 600 m/s
Question 7
A parallel plate capacitor has plates of area 0.04 m^2 and separation 3 mm. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the plates.
A. 0.025 C
B. 0.05 C
C. 0.1 C
D. 0.2 C
Question 8
A capacitor is connected to a 12 V battery. If the capaci\tance of the capacitor is 2 × 10^\( -6 \) F, calculate the charge stored in the capacitor.
A. 2.4 × 10^\( -5 \) C
B. 4.8 × 10^\( -5 \) C
C. 6.2 × 10^\( -5 \) C
D. 8.0 × 10^\( -5 \) C
Question 9
A magnetic field of 0.5 T is directed perp\endicular to a current-carrying wire. The wire carries a current of 2 A. Calculate the force exerted on a 0.1 m length of the wire.
A. 0.05 N
B. 0.1 N
C. 0.15 N
D. 0.2 N
Question 10
A magnetic field of 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.2 m. If a current of 2 A flows through the loop, what is the magnitude of the magnetic moment of the loop?
A. 0.1 A\cdot m^2
B. 0.2 A\cdot m^2
C. 0.3 A\cdot m^2
D. 0.4 A\cdot m^2
Question 11
A 2.5 V battery is connected in parallel with a 5 µF resistor and a 10 µF capacitor. The capacitor is initially uncharged. What is the maximum current in the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 12
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 13
A photon of energy 4 eV is incident on a metal surface with work function 2 eV. Calculate the maximum kinetic energy of the emitted electron.
A. 1 eV
B. 2 eV
C. 3 eV
D. 4 eV
Question 14
A gas is enclosed in a container of volume 2.5 m³ at a temperature of 300 K. If the pressure of the gas is 1.5 × 10^5 Pa, calculate the number of moles of the gas u\sing the ideal gas equation.
A. 0.05 mol
B. 0.1 mol
C. 0.15 mol
D. 0.2 mol
Question 15
A car is traveling at a speed of 25 m/s. If the driver applies the brakes and the car comes to a stop in 4 s, what is the magnitude of the acceleration of the car?
A. 5 m/s^2
B. 10 m/s^2
C. 15 m/s^2
D. 20 m/s^2

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