First slide

Fluid statics

Question

A body of density d₁ is counterpoised by weight Mg of density $d_{2}$ in air of density d. Then the true mass of the body is

Moderate

A

M
B

$1 - (\frac{d}{d_{2}})$
C

$M (1 - \frac{d}{d_{1}})$
D

$\frac{M (1 - d / d_{2})}{(1 - d / d_{1})}$

Solution

$Let M_{0} be the mass of the body in vacuum. So, Weight of the body in air = WeiSht of standard weights i - u air ∴ M_{0} g - (\frac{M_{0}}{d_{1}}) dg = Mg - (\frac{M}{d_{2}}) dg so M_{0} = \frac{M (1 - d / d_{2})}{(1 - d / d_{1})}$

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