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The bulk modulus of a liquid is 2xx10^(1...

The bulk modulus of a liquid is `2xx10^(10) N//m^(2)`. What is the percentage decrease in the volume of the liquid, when the pressure is increased by 20 atmosphere?
(one atmosphere `= 10^(5) N//m^(2)`)

A

0.0001

B

0.0002

C

0.0003

D

0.0005

Text Solution

Verified by Experts

The correct Answer is:
A
`K = (V dp)/(dv) :. KdV = Vdp`
`:. (dv)/(V) = (dp)/(K) = (20 xx 10^(5))/(2 xx 10^(10)) = 10^(-4)`
`:.` Percentage decrease `= (dv)/(V) xx 100 = 10^(-2) = 0.01%`
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