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A charged capacitor is allowed to disch...

A charged capacitor is allowed to dischare through a resistor by closing the key at the instant `t=0`. At the instant `t=(ln 4)mus`, the reading of the ammeter falls half the initial vaslue. The resistance of the ammeter is equal to

A

`0.5Omega`

B

`1Omega`

C

`2Omega`

D

`4Omega`

Text Solution

Verified by Experts

The correct Answer is:
C
The given time is the half life time of the exponentially decreasig eqution.
`:. t=t_(1/2)=(ln 2)tau_C=(ln 2)CR_(n et)`
`:. R_(n et)=t/((ln 2)C)`
`=(2(ln 2)mus)/((ln 2)(0.5muF))=4Omega`
`:.` Resistance of ammeter `=2Omega`
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