POST UTME BOWEN UNIVERSITY 2021 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 spring cons\tant 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 2
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 3
A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, what is the centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 4
A photon has an energy of 2 eV. What is its frequency?
A. 1 x 10^14 Hz
B. 2 x 10^14 Hz
C. 3 x 10^14 Hz
D. 4 x 10^14 Hz
Question 5
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. If the block starts from rest, calculate the velocity of the block after 2 seconds.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 6
A 100 V AC supply is connected in parallel with a 200 V AC supply. If the impedance of the 100 V supply is 50 Ω and the impedance of the 200 V supply is 100 Ω, what is the total current drawn from the supplies?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 7
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 8
A 10 V battery is connected to a 2 Ω resistor in series with a 4 Ω resistor. What is the current flowing through the 4 Ω resistor?
A. \( \frac{10}{6} \) A
B. \( \frac{10}{3} \) A
C. \( \frac{10}{2} \) A
D. \( \frac{10}{1} \) A
Question 9
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the position operator for this state?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{\pi}
Question 10
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 1 m/s
B. 2 m/s
C. 4 m/s
D. 8 m/s
Question 11
A particle of mass 1 kg is moving in a circular orbit of radius 2 m with a speed of 3 m/s. What is the angular momentum of the particle?
A. 6 kg m^2/s
B. 12 kg m^2/s
C. 18 kg m^2/s
D. 24 kg m^2/s
Question 12
A light source emits light of wavelength 500 nm. The light passes through a double-slit apparatus and forms an interference pattern on a screen 2.0 m away. Calculate the dis\tance between the central maximum and the first minimum.
A. 1.0 mm
B. 2.0 mm
C. 3.0 mm
D. 4.0 mm
Question 13
A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the block as it passes through the equilibrium position.
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 14
A projectile is launched from the ground with an initial velocity of $v_0 = 20m/s$ at an angle of $\theta = 45^\circ$ above the horizontal. What is the maximum height reached by the projectile?
A. h_{max} = 10m
B. h_{max} = 20m
C. h_{max} = 30m
D. h_{max} = 40m
Question 15
A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. What is the wave number of the wave?
A. \frac{2 \pi f}{v}
B. \frac{v}{2 \pi f}
C. \frac{f}{v}
D. \frac{v}{f}

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