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A fully charged capacitor has a capacita...

A fully charged capacitor has a capacitance 'C'. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity 's' and mass 'm'. If the temperature of the block is raised by 'DeltaT', the potential difference 'V' across the capacitance is

A

`sqrt((2mC DeltaT)/(s))`

B

`(mC DeltaT)/(s)`

C

`(ms DeltaT)/(C )`

D

`sqrt((2msDeltaT)/(C ))`

Text Solution

Verified by Experts

The correct Answer is:
D
`E = (1//2)CV^(2) …(i)`
The enegry stored in capacitor is lost in form of heat enegry.
`H = ms DeltaT ….(ii)`
From eq. (i) and (ii), we have
`ms DeltaT = (1//2) CV^(2)`
`V = sqrt((2msDeltaT)/(C ))`
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