Question

A block weighs $15N$ and $12N$ in air and water respectively. When it is immersed in another liquid, it weighs $13N$, then the relative density of the block is:

• A. $0.5$
  
• B. $0.6$
  
• C. $1$
  
• D. $2$
  

Answer 1

The correct option is B $0.6$

Given:

$W_a=15N{W}_w=12N{W}_l=13N$

Buoyant force in water $=15-12=3$N

Buoyant force in liquid $A=15-13=2$N

Since Buoyant force $=\rho Vg$

hence $\frac{{\rho }_a}{{\rho }_w}=\frac{2}{3}$

Relative density $=0.66$