A charged capacitor of capacitance C is discharged through a resistance R. A radioactive sample decays with an average-life `tau`.Find the value of R for which the ratio of the electrostatic field energy stored in the capacitor to the activity of the radioactive sample remains constant in time.A. `(2t)/( C )`B. `(C )/(2t)`C. `2t C`D. `t C`

A charged capacitor of capacitance C is discharged through a resistanc

1.	A charged capacitor of capacitance C is discharged through a resistance R. A radioactive sample decays with an average-life `tau`.Find the value of R for which the ratio of the electrostatic field energy stored in the capacitor to the activity of the radioactive sample remains constant in time.A. `(2t)/( C )`B. `(C )/(2t)`C. `2t C`D. `t C`
Answer» Correct Answer - A `(U_(c ))/(A)="constant" , ((1)/(2)CV_(0)^(2))/(lambdaN_(0))=((1)/(2)CV^(2))/(lambda N)` Where `V-V_(0)^(-t//CR), N=N_(o)e^(-lambda t)` and `lambda=(1)/(t)`

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