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The compressibility of water is 4.5xx10^...

The compressibility of water is `4.5xx10^(-10)m^(2)//N`. 1 L of water is subjected to pressure of `2xx10^(7)N//m^(2)`. The decrease in its volume is

A

9 cc

B

4 cc

C

5 cc

D

1 cc

Text Solution

Verified by Experts

The correct Answer is:
A

`k'=(1)/(k)=(1)/(v(dp)/(dv))=(dv)/(vdp)`
`dv= ` v dp k'
`=10^(-3) xx 2 xx 10^(7)xx4.5xx10^(-10)`
`=9xx10^(-6)m^(3)`
` = 9 c c` .
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Knowledge Check

  • 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

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