Question

Sample 15. The average depth of Indian ocean is about
3000 m. Calculate the fractional compression AV/V, of
water at the bottom of the ocean, given that the bulk modulus
of water is 2.2 x 10°Nm 2.
[NCERT]​

Answer 1

Please refer to the attachment for the solution :)

Answer 2

Answer:

:- $1.36 \times {10}^{ - 2}$ OR, $1.36\%$

Explanation:

The Pressure exerted by a Column of water of 3000m on the bottom layer

$p= hpg= 3000m \times 1000Kg {m}^{ - 3} \times 10m {s}^{ - 2}$

$= 3 \times {10}^{7} Kg {m}^{ - 1} {s}^{ - 2}$

$= 3 \times {10}^{7} \: N {m}^{ - 2}$

Fectional Compression (Delta sign) V/V, is

(Delta sign) V/V = Stress/B$= (3 \times {10}^{7} \: \: N {m}^{ - 2} )(2.2 \times {10}^{9} n {m}^{ - 2} )$

$1.36 \times {10}^{ - 2} \: Or \: 1.36\%$