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

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