POST UTME OSUSTECH 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 3 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 150 N/m. If the block is displaced by 1 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. 3 m/s
D. 4 m/s
Question 2
A sound wave with a frequency of 200 Hz is traveling through a medium. If the speed of the sound wave is 340 m/s, what is the wavelength of the sound wave?
A. 1.7 m
B. 1.7 cm
C. 17 m
D. 17 cm
Question 3
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an alternating voltage source of frequency $\omega$. Find the impedance of the circuit.
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}
C. \sqrt{\( \omega L - \frac{1}{\omega C} \)^2 - R^2}
D. \sqrt{\( \omega L + \frac{1}{\omega C} \)^2 - R^2}
Question 4
A photon has an energy of 2.5 eV. If it is incident on a metal surface with a work function of 1.8 eV, what is the maximum kinetic energy of the ejected electron?
A. 0.2 eV
B. 0.3 eV
C. 0.4 eV
D. 0.5 eV
Question 5
A block of wood is placed on a horizontal surface. If a force of 10 N is applied to the block, cau\sing it to accelerate at 2 m/s^2, what is the mass of the block?
A. 5 kg
B. 10 kg
C. 20 kg
D. 50 kg
Question 6
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?
A. The volume of the gas will decrease
B. The volume of the gas will increase
C. The volume of the gas will remain cons\tant
D. The volume of the gas will decrease and then increase
Question 7
A body is in equilibrium under the action of three forces: a 5 N force acting at an angle of 30° to the horizontal, a 10 N force acting at an angle of 60° to the horizontal, and a 15 N force acting at an angle of 90° to the horizontal. What is the resul\tant force acting on the body?
A. 10 N at an angle of 45° to the horizontal
B. 15 N at an angle of 30° to the horizontal
C. 20 N at an angle of 60° to the horizontal
D. 25 N at an angle of 90° to the horizontal
Question 8
A thermodynamic system undergoes a cyclic process consisting of two isochoric processes and two isobaric processes. If the volume of the system increases by 20% during the first isochoric process and decreases by 15% during the second isochoric process, what is the net change in volume of the system?
A. 5%
B. 10%
C. 15%
D. 20%
Question 9
A gas is compressed from an initial volume of $V_i$ to a final volume of $V_f$ at a cons\tant temperature of $T$. Assuming the gas obeys the ideal gas law, find the work done on the gas in terms of $p_i$, $V_i$, and $V_f$.
A. W = nRT \ln\left\( \frac{V_f}{V_i}\right \)
B. W = -nRT \ln\left\( \frac{V_i}{V_f}\right \)
C. W = nRT \ln\left\( \frac{V_i}{V_f}\right \)
D. W = -nRT \ln\left\( \frac{V_f}{V_i}\right \)
Question 10
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ in terms of $k$ and $m$.
A. \omega = \frac{k}{m}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{m}{k}
D. \omega = \sqrt{\frac{k}{m}}
Question 11
A particle of mass $m$ is in a one-dimensional potential energy function $U(x) = \frac{1}{2}kx^2$. Assuming the particle is in a state of definite energy $E$, find the expectation value of the position $\langle x \rangle$ in terms of $k$, $E$, and $m$.
A. \langle x \rangle = \frac{E}{m}
B. \langle x \rangle = \frac{m}{k}
C. \langle x \rangle = \frac{E}{k}
D. \langle x \rangle = \frac{k}{E}
Question 12
A wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. Assuming the wave is a \sinusoidal wave, find the angular frequency $\omega$ in terms of $f$ and $v$.
A. \omega = \frac{2\pi f}{v}
B. \omega = 2\pi f
C. \omega = \frac{v}{2\pi f}
D. \omega = 2\pi v
Question 13
A 2 m long wire has a resis\tance of 10 Ω. If a current of 5 A flows through the wire, calculate the power dissipated by the wire.
A. 25 W
B. 50 W
C. 75 W
D. 100 W
Question 14
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 10 days?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 15
A particle of mass 2 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. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s

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