Question

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)`

Answer 1

Correct Answer - 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)`