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Physics-

General

Easy

Question

A variable condenser is permanently connected to a $100 blank V$ battery. If the capacity is changed from $blank 2 mu blank F$ to $10 blank mu blank F comma$ then change in energy is equal to

$2 \times 10^{- 2} J$
$2.5 \times 10^{- 2} J$
$3.5 \times 10^{- 2} J$
$4 \times 10^{- 2} J$

The correct answer is: $4 cross times 10 to the power of negative 2 end exponent blank J$

$increment U equals U subscript 2 end subscript minus U subscript 1 end subscript equals fraction numerator V to the power of 2 end exponent over denominator 2 end fraction left parenthesis C subscript 2 end subscript minus C subscript 1 end subscript right parenthesis$
$equals fraction numerator open parentheses 100 close parentheses to the power of 2 end exponent over denominator 2 end fraction open parentheses 10 minus 2 close parentheses cross times 10 to the power of negative 6 end exponent equals 4 cross times 10 to the power of negative 2 end exponent blank J$

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