Gujarati
9-1.Fluid Mechanics
hard

A sample of metal weighs $210 gm$  in air, $180 gm$  in water and $120 gm$  in liquid. Then relative density $(RD) $ of

A

Metal is $3$ 

B

Metal is $7$ 

C

Liquid is $3$ 

D

Both $(b) $ and $(c)$ 

Solution

(d) Density of metal = $\rho $, Density of liquid = $\sigma$
If $ V$  is the volume of sample then according to problem
$210 = V\rho g$…(i)
$180 = V(\rho – 1)g$…(ii)
$120 = V(\rho – \sigma )g$…(iii)
By solving (i), (ii) and (iii) we get $\rho = 7$ and $\sigma = 3$.

Standard 11
Physics

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