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When a sphere is taken to bottom of sea 1 km deep, it contracts by 0.01%. The bulk modulus of elasticity of the material of sphere is (Given density of water = 1 g `cm^(-3)`)A. `9.8 xx 10^(10) Nm^(-2)`B. `10.2 xx 10^(10) Nm^(-2)`C. `0.98 xx 10^(10) Nm^(-2)`D. `8.4 xx 10^(10) Nm^(-2)` |
Answer» Correct Answer - a Bulk modulus , B `= (Delta p)/((-Delta V)/(V)) (-Delta V)/(V) = (0.01)/(100) = 10^(-4)` `Delta p` = pressure of water `= h rho g = 10^(3) xx 1 xx 10^(3) xx 9.8` `Delta p = 9.8 xx 10^(6)` `B = (9.8 xx 10^(6))/(10^(-4)) = 9.8 xx 10^(10) Nm^(-2)` |
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