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When a sphere is taken to bottom of s...

When a sphere is taken to bottom of sea 1 km deep, it constants by `0.01%` . Find the bulk modulus of elzsticity of the material of sphere .(Given , density of water `= 1 g// cm^(3))`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Bulk modulus, `B=(Deltap)/(-DeltaV//V) implies (DeltaV)/(V)=(0.01)/(100)=10^(-4)`
`Deltap`=pressure of water `Hrhog=(10)^(3)xx(1xx10^(3))xx(9.8)`
`Deltap=9.8 xx 10^(6)implies B=(9.8xx10^(8))/(10^(-4))=9.8 xx 10^(10) N//m^(2)`
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