# A solid metal sphere of volume 0.31 m3 is dropped in an ocean where water pressure is 2 × 107 N/m2. Calculate change in volume of the sphere if bulk modulus of the metal is 6.1 × 1010 N/m2. - Physics

Sum

A solid metal sphere of volume 0.31 m3 is dropped in an ocean where water pressure is 2 × 107 N/m2. Calculate change in volume of the sphere if the bulk modulus of the metal is 6.1 × 1010 N/m2.

#### Solution

Given: V = 0.31 m3, dP = 2 × 107 N/m2, K = 6.1 × 1010 N/m2

To find: Change in volume (dV)

Formula: K = V × "dP"/"dV"

Calculation: From formula,

dV = ("V" xx "dP")/"K"

∴ dV = (0.31 xx 2 xx 10^7)/(6.1 xx 10^10) ~~ 10^-4 "m"^3

The change in volume of the sphere is 10-4 m3.

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#### APPEARS IN

Balbharati Physics 11th Standard Maharashtra State Board
Chapter 6 Mechanical Properties of Solids
Exercises | Q 5. (vi) | Page 113
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