AIIMS2019Physics-Electrostatics

AIIMS 2019 Physics Capacitors MCQ Question

Type: MCQ-conceptual-Medium-Class 12

A sphere pure rolls on a rough inclined plane with initial velocity 2.8 m/s2.8\text{ m/s}. Find the maximum distance on the inclined plane.

Question diagram
A

2.74 m2.74\text{ m}

B

5.48 m5.48\text{ m}

C

1.38 m1.38\text{ m}

D

3.2 m3.2\text{ m}

Correct Answer

Option A

Detailed Explanation

After the switch is opened at t=t = \infty, the capacitor discharges through the circuit, and the charge QQ on the capacitor can be expressed as Q(t)=Q0et/RCQ(t) = Q_0 e^{-t/RC}, where Q0Q_0 is the initial charge, RR is the resistance, and CC is the capacitance. Given that the charge after 1 second is 20e10μC20e^{-10} \, \mu C, option A accurately reflects the exponential decay of the charge over time. The other options (B, C, D) suggest incorrect initial conditions or decay constants, leading to values that do not align with the expected behavior of the capacitor in this circuit.

Found an issue with this question?