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A sphere contracts in volume by 0.01 % w...

A sphere contracts in volume by 0.01 % when taken to the bottom of sea 1 km deep. Find the bulk modulus of the material of the sphere.

Text Solution

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Here `Delta V = 0.01% ` of V
` = (0.01)/(100) xx V = 10^(-4) V`
` P = h rho g = 10^3 xx 10^3 xx 9.8`
` = 9.8 xx 10^6 Nm^(-2)`
` K = (PV)/(Delta V) = (9.8 xx 10^6 xx V)/(10^(-4) xx V) `
` = 9.8 xx 10^10 Nm^(-2)`
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