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The compressibility of water is 6 xx 10^...

The compressibility of water is `6 xx 10^(-10)m^(2)//N`. If one litre of water is subjected to a pressure of `4 xx 10^(7) N//m^(2)`, then the decrease in volume will be

A

2.4cc

B

10cc

C

24cc

D

15cc

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(B) = 6 xx 10^(-10) N^(-1) m^(2)`
`B= (1)/(6) xx 10^(10) N//m^(2)`
`B= (P)/((Delta V)/(V)) rArr (Delta V)/(V)= (4 xx 10^(7))/((1)/(6) xx 10^(10)) = 24 xx 10^(-3) = 24`cc
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