1.

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

Answer» `pv^(1/4) = c`
`p= cv^(-1/4)`
`ln p = ln(cv^(-1/4))`
`ln p = ln c + (-1/4)ln v`
now, `(dp)/p = 0- 1/4(dv)/v`
`(dp)/p = -1/4 (dv)/v`
`(dp)/p = -1/4(-1/2%)`
`= 1/8%`
option c is correct


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