a ball falling in a lake of depth 200m shows 0 1 percent decrease in its volume at the bottom - Physics - Mechanical Properties Of Solids

Question

a ball falling in a lake of depth 200m shows 0 1 percent decrease
in its volume at the bottom what is the bulk modulus of the
material of the ball

Sushant · Accepted Answer

hi Anil
Narang

Please find below the solution to the asked query:

as we know,
bulk modulus is given as:

B =- ΔpΔvv

so,

Taking density of water to be φ=  1000m3and Acceleration due to gravity g = 10 m/s2and depth below the water h = 200mso total pressures at that depth is  = atmostpheric presseure +  φghchange in pressure = φghΔP  =  1000 × 10× 200  =  20 × 105 N/m2 = 20× 105 N/m2 and given Δvv=- 0
1substituting these values in the equation of bulk modulusso B = -20 × 105-0
1 = 20 × 106 N/m2

this is the given bulk modulus of the material

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a ball falling in a lake of depth 200m shows 0.1 percent decrease in its volume at the bottom. what is the bulk modulus of the material of the ball.