Question

A ball falling in a lake of depth 200 m shows a decrease of 0.1% in its volume. The bulk modulus of elasticity of the material of the ball is ______.

(Take g = 10 m/s²)

विकल्प

• 10⁹ N/m²

• 2 × 10⁹ N/m² 

• 3 × 10⁹ N/m² 

• 4 × 10⁹ N/m² 

Answer 1

A ball falling in a lake of depth 200 m shows a decrease of 0.1% in its volume. The bulk modulus of elasticity of the material of the ball is 2 × 10⁹ N/m².

Explanation:

`DeltaP  = hdg  = 200 xx 10^3 xx 10`

= `2 xx 10^6` N/m²

K = `(DeltaP)/((DeltaV)/V) = (2 xx 10^6)/(0.1/100)`

= `2 xx 10^9` N/m²