POST UTME UNIPORT 2024 Physics | Objective

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Question 1
A photon of energy $E$ is incident on a metal surface with work function $\phi$. If the photon is not absorbed, find the maximum kinetic energy of the emitted electron in terms of $E$ and $\phi$.
A. \( K_{\max} = E + \phi \)
B. \( K_{\max} = E - \phi \)
C. \( K_{\max} = \phi - E \)
D. \( K_{\max} = E \phi \)
Question 2
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, find the current flowing through the circuit.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.0 A
Question 3
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 4
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. Find the magnitude of the force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, find the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 6
A projectile is launched from the ground with an initial velocity of 25 m/s at an angle of 45° above the horizontal. Assuming the air resis\tance is negligible, calculate the time of flight of the projectile.
A. 2 s
B. 3 s
C. 4 s
D. 5 s
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. Assuming the air resis\tance is negligible, calculate 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 horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and 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 9
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 angular momentum is $L = 2mvr$, find the total energy of the particle in terms of $k$, $m$, and $r$.
A. \( E = \frac{k}{2mr} \)
B. \( E = \frac{k}{mr} \)
C. \( E = \frac{1}{2}mv^2 + \frac{k}{r} \)
D. \( E = \frac{1}{2}mv^2 - \frac{k}{2r} \)
Question 10
A gas is contained in a cylinder with a volume of 3 L at a temperature of 200 K. The gas is then compressed to a volume of 1 L while the temperature is kept cons\tant. Assuming the gas is ideal, calculate the final pressure of the gas.
A. 4 atm
B. 6 atm
C. 8 atm
D. 10 atm
Question 11
A block of mass $m$ is attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the block's motion in terms of $k$ and $m$.
A. \( \omega = \sqrt{\frac{m}{k}} \)
B. \( \omega = \sqrt{\frac{k}{m}} \)
C. \( \omega = \frac{k}{m} \)
D. \( \omega = \frac{m}{k} \)
Question 12
A simple harmonic motion is described by the equation x(t) = 2\cos\( ωt + φ \). If the amplitude of the motion is 2 m, what is the value of φ?
A. 0°
B. 30°
C. 45°
D. 60°
Question 13
A particle is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, what is the magnitude of the acceleration of the particle?
A. 10 m/s²
B. 20 m/s²
C. 25 m/s²
D. 30 m/s²
Question 14
A magnetic dipole is placed in a uniform magnetic field of strength $B$. The dipole moment of the dipole is $m$. What is the potential energy of the dipole in the magnetic field?
A. -mB
B. mB
C. \frac{mB}{2}
D. -\frac{mB}{2}
Question 15
A block of mass $m$ is attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the block's motion in terms of $k$ and $m$.
A. \( \omega = \sqrt{\frac{m}{k}} \)
B. \( \omega = \sqrt{\frac{k}{m}} \)
C. \( \omega = \frac{k}{m} \)
D. \( \omega = \frac{m}{k} \)

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