Question

A cube of wood supporting $200g$ mass just floats in water. When the mass is removed, the cube rises by $1cm$, the linear dimension of cube is:

• A. $10cm$
• B. $20cm$
• C. $10\sqrt{2}cm$
• D. $5\sqrt{2}cm$

Answer 1

The correct option is C $10\sqrt{2}cm$

cube of wood supports$=200gm$
As, the mass is removed it rises by $1cm$
So, this implies that the weight of the $200g$ mass is equal to the weight of the water displaced by immersing $1cm$ of the cube,

Mathematically,
$a_2\times 1\times 1gm/c{m}^3\times g=g\times 200$
$a^2=10\sqrt{2}200c{m}^2$
$a=10\sqrt{2}cm$