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JEE Main 2010 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2010

Let C be the capacitance of a capacitor discharging through a resistor R. Suppose is the time taken for the energy stored in the capacitor to reduce to half its initial value and is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio will be

Answer: (3)

Solution

and . Half energy: $ = Missing argument for \frac\frac12 ⇒ =

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Question ID VK-039217