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The presssure of a medium is changed fr...

The presssure of a medium is changed from `1.01xx10^(5) Pa` to ` 1.165xx10^(5) Pa` and change in volume is `10 % ` keeping temperature constant . The bulk modulus of the medium is
(a) `204.8 xx 10^(5) Pa` (b) `102.4xx10^(5) Pa` (c ) `5.12xx10^(5) Pa`
(d) `1.55xx10^(5) Pa`

A

`20.4 xx 10^(5) Pa`

B

`10.2 xx 10^(5) Pa`

C

`5.2 xx 10^(5) Pa`

D

`1.55 xx 10^(5) Pa`

Text Solution

Verified by Experts

The correct Answer is:
D
For the gas, `dP = (1.165 - 1.010) xx 10^(5)`
`= 0.155 xx 10^(5) N//m^(2)`
`= 1.55 xx 10^(4) N//m^(2)`
and `(dV)/(V) = (10)/(100) = (1)/(10)`
`:. K = (dP)/((dV)/(V)) = (1.55 xx 10^(4))/((1)/(10)) = 1.55 xx 10^(5) N//m^(2)`
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