The pressure P and volume V of a gas are connected by the relation `P V^(1/4=)` constant. The percentage increase in the pressure corresponding to a deminition of % in the volume is `1/2%` (b) `1/4%` (c) `1/8%` (d) none of these

Explanation

`PV^{1 / 4}= constant`


`\Rightarrow {P}=\frac{{k}}{{V}^{1 / 4}}`



`\Rightarrow \frac{{dP}}{{dV}}=-\frac{{k}}{4} {~V}^{-5 / 4}`


Percentage error in `V=-\frac{1}{2} \%`
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