POST UTME IGBINEDION UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two temperatures $T_1$ and $T_2$. If the engine has an efficiency $\eta$, determine the temperature $T_2$.
A. \eta = 1 - \frac{T_2}{T_1}
B. \eta = 1 - \frac{T_1}{T_2}
C. \eta = \frac{T_2}{T_1}
D. \eta = \frac{T_1}{T_2}
Question 2
A solid sphere of radius $R$ is made of a material with density $\rho$. It is placed in a liquid of density $sigma$. The sphere floats with $x$ portion of its volume submerged in the liquid. What is the ratio of the density of the sphere to the density of the liquid?
A. x/\( 1-x \)
B. 1/\( 1-x \)
C. x/\( 1+x \)
D. 1/\( 1+x \)
Question 3
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on the capacitor?
A. 20 μC
B. 40 μC
C. 60 μC
D. 80 μC
Question 4
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular velocity is 2 rad/s, what is its linear velocity?
A. 6 m/s
B. 12 m/s
C. 18 m/s
D. 24 m/s
Question 5
A resistor of 10 Ω is connected in series with a capacitor of 100 μF and an inductor of 50 mH. If the frequency of the AC source is 50 Hz, what is the impedance of the circuit?
A. 14.14 Ω
B. 15.15 Ω
C. 16.16 Ω
D. 17.17 Ω
Question 6
A heat engine operates between the temperatures 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
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. Calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 8
A gas is contained in a cylinder of volume $V$ at a temperature $T$. If the gas is heated, determine the change in volume $\Delta V$.
A. \Delta V = \frac{\beta V T \Delta T}{\alpha + \beta T}
B. \Delta V = \frac{\alpha V T \Delta T}{\alpha + \beta T}
C. \Delta V = \frac{\beta V T \Delta T}{\alpha - \beta T}
D. \Delta V = \frac{\alpha V T \Delta T}{\alpha - \beta T}
Question 9
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?
A. 1.33 atm
B. 2 atm
C. 3 atm
D. 4 atm
Question 10
A particle of mass 2 kg is attached to a spring with a force cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle's motion.
A. 10 rad/s
B. 5 rad/s
C. 20 rad/s
D. 15 rad/s
Question 11
A magnetic field of 0.5 T is directed perp\endicular to a current of 2 A. Calculate the force on a wire of length 0.2 m.
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 12
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, calculate the current flowing through the circuit.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1 A
Question 13
A heat engine operates between the temperatures $T_1 = 500 K$ and $T_2 = 300 K$. The engine has an efficiency of $\eta = 0.3$. What is the temperature of the hot reservoir?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 14
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, determine the time $t$ at which the particle reaches its maximum height.
A. t = \frac{v_0 \sin \theta}{g}
B. t = \frac{v_0 \cos \theta}{g}
C. t = \frac{v_0 \sin \theta}{g^2}
D. t = \frac{v_0 \cos \theta}{g^2}
Question 15
A sound wave of frequency 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?
A. 1 m
B. 1.7 m
C. 2 m
D. 3 m

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