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A capacitor of capacitance 2muF is charg...

A capacitor of capacitance `2muF` is charged to a potential difference of `5V`. Now, the charging battery is disconected and the capacitor is connected in parallel to a resistor of `5Omega` and another unknown resistor of resistance `R` as shown in figure. If the total heat produced in `5Omega` resistance is `10muJ` then the unknown resistance `R` is equal to

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