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The bulk modulus of a metal is 8 xx 10^(...

The bulk modulus of a metal is `8 xx 10^(9) N//m^(2)`. The pressure required to reduce the volume of a spherical ball of that metal by `5%` is

A

`2 xx 10^(8) N//m^(2)`

B

`4 xx 10^(8) N//m^(2)`

C

`6 xx 10^(8) N//m^(2)`

D

`1//4 xx 10^(8) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`K = (Vdp)/(dv) :. dp = K(dv)/(V)`
`= 8 xx 10^(9) xx (5)/(100) = 4 xx 10^(8) N//m^(2)`
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