POST UTME IMS U 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. The circuit is closed at time $t = 0$. What is the current in the circuit at time $t = 2$ s?

A. 0 A

B. 2 A

C. 4 A

D. 6 A

Question 2

A circuit consists of a 6 V battery, a 2 Ω resistor, and a 4 Ω resistor connected in series. What is the current in the circuit?

A. 0 A

B. 1 A

C. 2 A

D. 3 A

Question 3

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the expectation value of the position operator in the ground state?

A. 0

B. \frac{L}{2}

C. L

D. L/\sqrt{2}

Question 4

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 0 rad/s

B. \frac{1}{\sqrt{2}} rad/s

C. \sqrt{k/m} rad/s

D. \sqrt{2k/m} rad/s

Question 5

A particle of mass $m$ is moving in a circular orbit of radius $r$ with speed $v$. What is the magnitude of the centripetal acceleration?

A. 0 m/s^2

B. \frac{v^2}{r} m/s^2

C. \frac{2v^2}{r} m/s^2

D. \frac{3v^2}{r} m/s^2

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POST UTME IMS U 2022 Physics | Objective

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