If the compressibility of water is per unit atmospheric pressure,… - Vidyadip

MCQ

If the compressibility of water is $\sigma $ per unit atmospheric pressure, then the decrease in volume $V$ due to $P$ atmospheric pressure will be

A
$\sigma P/V$
✓
$\sigma PV$
C
$\sigma /PV$
D
$\sigma V/P$

✓

Answer

Correct option: B.

$\sigma PV$

b
(b) Compressibility = $\frac{{\Delta V/V}}{P}$ ==>$\sigma = \frac{{\Delta V}}{{PV}}$==> $\Delta V = \sigma PV$

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