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The average depth of India Ocean is abou...

The average depth of India Ocean is about 3000 m. Bulk modulus of water is `2.2 xx 10^(4) N//m^(2)`,`g= 10m//s^(2)` , then fractional compression `(DeltaV)/(V)` of water at the bottom of the India Ocean will be

A

`1.36%`

B

`20.6%`

C

`13.9 %`

D

`0.52%`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) The pressure exerted by a 3000 m column of water on the bottom layer.
`p=hrhog=3000xx1000xx10`
`3xx10^(7)kg m^(-1)s^(-1)=3xx 10^(7)N//m^(2)`
Fractional compression `((DeltaV)/(V))`
`("Stress")/(B)=(3xx10^(7))/(2.2xx10^(9))=1.36xx 10^(-2)`
`(DeltaV)/(V)xx 100=1.36%`
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