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Q.

A material has normal density r and bulk modulus B.  The increase in the density of the material when it is subjected to an external pressure 'p' from all sides is

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a

BPρ

b

PρB

c

BρP

d

PρB

answer is C.

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Detailed Solution

From the question,

B=-VdPdV

as given that the mass remains constant,

dVV=dρρ

therefore,

B=Pdρρ

B=Pρdρ

dρ=PρB

Hence the correct answer is PρB.

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