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When a pressure of 100 atmosphere is app...

When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces to `0.01%`. The bulk modulus of the material of the rubber in dyne/`cm^2` is

A

`10 xx 10^(12)`

B

`100 xx 10^(12)`

C

`1 xx 10^(12)`

D

`20 xx 10^(12)`

Text Solution

Verified by Experts

The correct Answer is:
C

`P= 100 xx 10^(5)Pa, (Delta V)/(V)= 0.01 xx 10^(-2) = 10^(-4)`
`B= (P)/((-Delta V)/(V)) = (10^(7))/(10^(-4))= 10^(11) N//m^(2)`
`rArr B= (10^(11) xx 10^(5) "dyne")/((100)^(2) cm^(2)) = 10^(12)` dyne/`cm^(2)`
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