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A ball falling in a lake of depth 200m s...

A ball falling in a lake of depth 200m shown 0.1% decrease in its volume at the bottom .What is the bulk modulus of the materialof the ball

A

`10^(9)N//m^(2)`

B

`2xx10^(9)N//m^(2)`

C

`3xx10^(9)N//m^(2)`

D

`4xx10^(9)N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`/_\P=hrhog=200xx10^(3)xx10N//m^(2)=2xx10^(-6)N//m^(2)`
`K=(/_\P)/((/_\V)/V)= (2xx10^(6))/(0.1/100)=(2xx10^(8))/0.1N//m^(2)=2xx10^(9)N//m^(2)`
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