Mechanical Properties Of Fluids Ques 16
16. The compressibility of water is $4 \times 10^{-5}$ per unit atmospheric pressure. The decrease in volume of $100$ $ cm^{3}$ of water under a pressure of $100 $ atmosphere will be
[1990]
(a) $0.4 $ $cm^{3}$
(b) $4 \times 10^{-5} $ $cm^{3}$
(c) $0.025 $ $cm^{3}$
(d) $0.004 $ $cm^{3}$
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Answer:
Correct Answer: 16.(a)
Solution:
- (a) $K=\frac{1}{B}=\frac{\Delta V / V}{P}$. Here, $P=100 $ $atm$,
$K=4 \times 10^{-5}$ and $V=100$ $ cm^{3}$.
Hence, $\Delta V=0.4 $ $cm^{3}$
BETA
