Physics Elasticity Question 17

Question: The compressibility of water is $ 4\times {{10}^{-5}} $ per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be

[MP PMT 1990]

Options:

A) 0.4 cc

B) $ 4\times {{10}^{-5}},cc $

C) 0.025 cc

D) 0.004 cc

Show Answer

Answer:

Correct Answer: A

Solution:

$ C=\frac{1}{K}=\frac{\Delta V/V}{\Delta P} $

Therefore $ \Delta V=C\times \Delta P\times V $

$ =4\times {{10}^{-5}}\times 100\times 100=0.4cc $