The pressure $P$ and volume $V$ of a gas are connected by the relation $P{V^{1/4}} = {\rm{constant}}.$ The percentage increase in the pressure corresponding to a deminition of $1/2\;\% $ in the volume is

JEE MATHEMATICS MCQ: RATE MEASURE

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The pressure

P

and volume

V

of a gas are connected by the relation

P{V^{1/4}} = \mathrm{constant}.

The percentage increase in the pressure corresponding to a deminition of

1/2\;\%

in the volume is

View answer and explanation

Correct option: C

\frac{1}{8}\%

Option C (

\frac{1}{8}\%

) is correct because it represents the percentage increase in pressure corresponding to a diminution of 1/2 % in volume, calculated using the given relation.

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