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Q.

A sphere contracts in volume by 0.01 % when taken to the bottom of sea 1 km deep. Find the bulk's modulus of the material of the sphere. Given : density of sea water is 1 gcm-3, g=980 cms-2

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a

9.8 x 1011  dyne-cm-2

b

2.8 x 1011 dyne-cm-2

c

0.8 x 1011 dyne-cm-2

d

1 x 1011 dyne-cm-2

answer is A.

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Detailed Solution

VV=0.01100, h=1 km=105 cm,ρ=1 gcm-3; P=105 x 1 x 980 dyne-cm2 K=PV/V=P x VV=105 x 980 x1000.01dyne-cm-2=9.8 x 1011dyne-cm-2

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