A piece of stone of mass 15.1 g is first immersed in a liquid and it weighs 10.9 gf. Then on immersing the piece of stone in water, it weighs 9.7 gf. Calculate —

(a) the weight of the piece of stone in air,

(b) the volume of the piece of stone,

(c) the relative density of stone,

(d) the relative density of the liquid.

The upthrust is maximum (= F_B) when the body is:

1. floating in the liquid
2. completely immersed inside the liquid
3. partially immersed inside the liquid
4. None of these

A body of weight W is floating in a liquid. Its apparent weight will be:

1. equal to W
2. less than W
3. greater than W
4. zero

For a floating body of volume V, the relation between the volume of its submerged part $v$, the densities of liquid (ρ_L) and the body (ρ_S) is :

1. $\dfrac{v}{V}$ = $\dfrac{ρ$s}{ρL}

2. $\dfrac{V}{v}$ = $\dfrac{ρ$s}{ρL}

3. $v \times ρ$s = V \times ρL

4. none of these