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=1g/cm3 and g= 9/8 m/s2 )
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a
9.8×1010N/m2
b
10.2×1010N/m2
c
0.98×1010N/m2
d
8.4×1010N/m2
answer is A.
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Detailed Solution
Bulk modulus =B=ΔP−ΔV/V −ΔVV=0.01100=10−4 ΔP = pressure of water =Hρg =(10)3×(1×103)×(9.8) ΔP=9.8×106 B=9.8×10610−4=9.8×1010N/m2