JEE Main 2022 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2022

A capacitor is discharging through a resistor R. Consider in time , the energy stored in the capacitor reduces to half of its initial value and in time , the charge stored reduces to one eighth of its initial value. The ratio will be

Answer: (4)

Solution

The energy is proportional to , so when the energy falls to half the charge becomes of its initial value: (1/ = Extra open brace or missing close bracee^{-t_{1}$/τ

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Question ID VK-035172