POST UTME LEAD CITY UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm away. Calculate the magnification of the image.
A. 1/2
B. 1/3
C. 2/3
D. 3/4
Question 2
A radioactive sample has a half-life of 2 years. If the initial activity is 100 Bq, what is the activity after 6 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 3
A quantum particle has a wave function ψ(x) = Ae^\( -αx^2 \). Calculate the expectation value of x u\sing the formula <x> = ∫x|ψ(x)|^2dx.
A. 0
B. 1/α
C. 1/2α
D. 1/3α
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. What is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 15 N
D. 18 N
Question 5
A physical quantity is measured to be $5.2 pm 0.1$ meters. What is the uncertainty in the measurement?
A. \( 0.1 , \text{m} \)
B. \( 0.2 , \text{m} \)
C. \( 0.3 , \text{m} \)
D. \( 0.4 , \text{m} \)
Question 6
A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate its speed u\sing the formula v = fλ.
A. 1000 m/s
B. 2000 m/s
C. 3000 m/s
D. 4000 m/s
Question 7
A 10 V battery is connected in series to a 5 Ω resistor and a 2 Ω resistor. What is the current flowing through the 5 Ω resistor?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 8
A particle of mass 2.0 kg is moving in a circular path with a radius of 3.0 m. If the particle has a speed of 4.0 m/s, calculate the centripetal force acting on the particle in Newtons.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 9
A light ray passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 seconds later, calculate the maximum height reached by the projectile in meters.
A. 5 m
B. 10 m
C. 15 m
D. 20 m
Question 11
A gas is enclosed in a container of volume $V$ at a temperature of $T$ Kelvin. If the pressure of the gas is $P$, what is the work done by the gas when it expands to a volume of $2V$?
A. \( -P\( V_2 - V_1 \ \) )
B. \( P\( V_2 - V_1 \ \) )
C. \( -\frac{P\( V_2 - V_1 \ \)}{V_1} )
D. \( \frac{P\( V_2 - V_1 \ \)}{V_1} )
Question 12
A gas is enclosed in a container with a movable piston. The gas is heated from 300 K to 400 K. If the initial volume is 2.0 L and the final volume is 3.0 L, calculate the work done by the gas in Joules.
A. 1200 J
B. 1500 J
C. 1800 J
D. 2000 J
Question 13
A simple harmonic motion has a maximum displacement of 5 m and a period of 2 s. If the amplitude is doubled, what is the new period?
A. 1 s
B. 2 s
C. 4 s
D. 8 s
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2.0 A, calculate the power dissipated by the 6 Ω resistor in Watts.
A. 12 W
B. 18 W
C. 24 W
D. 30 W
Question 15
A wave function is given by ψ(x) = Ae^\( -αx^2 \). What is the probability density of the wave function?
A. |ψ(x)|^2 = Ae^{-2αx^2}
B. |ψ(x)|^2 = Ae^{-αx^2}
C. |ψ(x)|^2 = Ae^{αx^2}
D. |ψ(x)|^2 = Ae^{-2αx^4}

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: