POST UTME ELIZADE UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 1.0 kg is moving in a simple harmonic motion with an angular frequency of 2.0 rad/s. If the particle is displaced by 0.5 m from its equilibrium position, what is its potential energy?
A. 0.5 J
B. 1.0 J
C. 2.0 J
D. 4.0 J
Question 2
A radioactive sample of Δⁿ⁴⁺¹² (a fictional isotope) undergoes β-decay with a half-life of 5.0 minutes. If the initial activity is 100 Bq, what is the activity after 15 minutes?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 3
A wave function ψ(x) = A \sin(kx) is defined on the interval [0, π]. If the wave function is normalized, what is the value of A?
A. 1.0
B. √\( 2/π \)
C. √\( 1/π \)
D. √\( 1/2π \)
Question 4
A particle of mass 2.0 kg is moving in a circular path with a radius of 3.0 m. If the particle is subject to a centripetal force of 10 N, what is its angular velocity?
A. 1.0 rad/s
B. 2.0 rad/s
C. 3.0 rad/s
D. 4.0 rad/s
Question 5
A capacitor consists of two parallel plates, each with an area of 0.01 m². The plates are separated by a dis\tance of 0.001 m and are charged to a potential difference of 10 V. What is the capaci\tance?
A. 0.01 F
B. 0.001 F
C. 0.0001 F
D. 0.00001 F

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