If an empty can is pushed into water, we feel :

1. a downward force
2. an upward force
3. it is easy to push the can into water
4. both (a) and (c)

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