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The density of a metal at normal pressure is ρ. It's 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...? Ans: 1/(1-P/B)

The density of a metal at normal pressure is ρ. It's 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...?
 
Ans: 1/(1-P/B)

Grade:11

1 Answers

Arun
25757 Points
2 years ago

As,

K = -V d P / d V

In this case, if mass remains constant ,

d V / V = d ρ / ρ

So, we get :

K = - ρ d P / d ρ

d P = P

And we get by this:

d ρ = - ρ P / K

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