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 = $\dfrac{\text{V}_{\text{g}}}{\text{ρ}}$

If a body is completely immersed in a liquid, the volume of the liquid displaced will be …………… its own volume and the upthrust will be ……………

1. less than, minimum
2. equal to, minimum
3. more than, maximum
4. equal to, maximum

The apparent loss in weight is equal to the upthrust on the body verifies :

1. Pascal's law
2. Newton's third law
3. Archimedes' principle
4. Newton's second law