Question

To what depth must a rubber ball ne taken in deep sea so that its volume us decreased by 0.1%. The bulk modulus of rubber is 9.8x108 N/m² and density of sea water is 10³ kg/m³

Answer 1

Answer:

Let h be the depth at which the rubber ball be taken, Then

P=hρg...(i)

By definition of bulk modulus

B=−

ΔV/V

P

The negative sign shows that with increase in pressure, a decrease in volume occurs.

∴P=B

V

ΔV

Using (i)

hρg=B

V

ΔV

orh=

ρg

B

V

ΔV

Substituting the given values, we get

h=(

10

3

kgm

−3

×10

ms

−2

9×10

8

Nm

−2

)(

100

0.1

)=90m

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