POST UTME IGBINEDION UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm from the lens. What is the magnification of the lens?
A. -0.5
B. -0.67
C. -0.8
D. -1
Question 2
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 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 wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 5
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. What is the magnitude of the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 6
A 100 V, 50 Hz AC source is connected to a 50 Ω resistor. If the current through the resistor is 2 A, what is the power consumed by the resistor?
A. 100 W
B. 141.4 W
C. 200 W
D. 250 W
Question 7
A capacitor of capaci\tance 100 μF is charged to a potential difference of 10 V. Calculate the energy stored in the capacitor.
A. 0.1 J
B. 0.2 J
C. 0.3 J
D. 0.4 J
Question 8
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 9
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 10
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, calculate the charge stored on each plate.
A. 20 μC
B. 40 μC
C. 60 μC
D. 80 μC
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 spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, what is the resulting displacement?
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 13
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 14
A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. If the capaci\tance is $C$, determine the electric field $E$ between the plates.
A. E = \frac{Q}{\epsilon_0 A}
B. E = \frac{Q}{\epsilon_0 d}
C. E = \frac{Q}{\epsilon_0 A^2}
D. E = \frac{Q}{\epsilon_0 d^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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