POST UTME UNN 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas expands from an initial volume of 2 L to a final volume of 5 L at a cons\tant temperature of 300 K. What is the work done by the gas?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 2
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the magnitude of the centripetal force?
A. mv^2/r
B. mv^2/r^2
C. m^2v^2/r
D. m^2v^2/r^2
Question 3
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?
A. 36 g
B. 40 g
C. 44 g
D. 48 g
Question 4
A projectile is launched at an angle $\theta$ to the horizontal with an initial speed $v_0$. What is the maximum height reached by the projectile?
A. v_0^2\( 1-\cos\theta \)/2g
B. v_0^2\sin^2\theta/2g
C. v_0^2\cos^2\theta/2g
D. v_0^2\sin\theta/2g
Question 5
A magnetic field of magnitude 0.5 T is directed along the z-axis. If a current of 2 A is flowing in a wire loop of radius 0.1 m, calculate the torque experienced by the loop.
A. 0.1 Nm
B. 0.2 Nm
C. 0.3 Nm
D. 0.4 Nm
Question 6
A sound wave with a frequency of 200 Hz is produced by a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, calculate the apparent frequency heard by the observer.
A. 220 Hz
B. 240 Hz
C. 260 Hz
D. 280 Hz
Question 7
A magnetic field of 0.5 T is applied to a coil of 100 turns. If the coil is rotated through an angle of 90° in 0.1 s, what is the induced emf?
A. 0.5 V
B. 1 V
C. 2 V
D. 5 V
Question 8
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Question 9
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, calculate the efficiency of the engine.
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 10
A body of mass 5 kg is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 11
A capacitor of 10 μF is connected in parallel with a resistor of 100 Ω. If a voltage of 20 V is applied across the circuit, what is the current through the resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 12
A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, calculate the root mean square (RMS) value of the current.
A. 2 A
B. 4 A
C. 5 A
D. 10 A
Question 13
A thermodynamic system undergoes a process from state A to state B. If the system's internal energy is given by \( U = \frac{3}{2}nRT \), where (n) is the number of moles, (R) is the gas cons\tant, and (T) is the temperature in Kelvin, determine the change in internal energy (Delta U) for a process where the temperature increases from 300 K to 400 K, and the number of moles remains cons\tant.
A. -150 J
B. 150 J
C. 300 J
D. 600 J
Question 14
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 15
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V DC source is connected across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.0 A

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