The effect of upthrust is that the weight of a body immersed in a liquid appears to be :

1. more than its actual weight
2. the same as its weight outside the liquid
3. less than its actual weight
4. None of these

Which of the following are the correct characteristic properties of upthrust ?

(i) the smaller the volume of a body submerged in a liquid, the smaller is the upthrust

(ii) the upthrust acts on the body in an upward direction at the centre of buoyancy

(iii) for the same volume of a body inside a fluid, the less the density of the fluid, greater will be the upthrust

1. (i) & (ii)
2. (i) & (iii)
3. (ii) & (iii)
4. (i), (ii) & (iii)

The correct relation for upthrust on a solid of volume V immersed in a liquid of density ρ is :

1. F_B = $\dfrac{\text{V}_{\text{s}}}{\text{g}}$

2. F_g = $\dfrac{\text{ρg}}{\text{V}}$

3. F_B = Vρg

4. F_g = $\dfrac{\text{V}_{\text{g}}}{\text{ρ}}$

Archimedes' principle applies on :

1. solids and liquids
2. liquids and gases
3. solids and gases
4. solids, liquids and gases