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To what depth must a rubber ball be take...

To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1 %.
(Take, density of sea water `=10^(3) kg m^(-3)`, bulk modulus of rubber `= 9 x 10^(8) N m^(-2),g= 10 m s^(-2)`)

A

9 m

B

18 m

C

180 m

D

90 m

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Elongation `Deltal=(FL)/(AY)=(FV)/(A^(2)Y)" "(V=AxxLimpliesL=(V)/(A))`
or `F=(A^(2)Deltal)/(V)`
`therefore F prop A^(2)`
As cross-sectional area of 2nd wire is 3 times therefore 9F force is required for same elongation .
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