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Q.

The density of a metal at normal pressure isρ . Its density when it is subjected to an excess pressure P is ρ' . If B is the bulk modulus of the metal, the ratio ρ'ρ  is

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a

11−ρB

b

1+Bρ

c

11−Bρ

d

1+ρB

answer is A.

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Detailed Solution

Density, ρ=mV or ρ∝1V (as m= constant)∴ρ'ρ=VV'=VV+dV     (as B=−pdV/V )∴ρ'ρ=VV−VPB=11−PB .
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