Question

Which of the following will sink or float on water ? (Density of water =1 g $c{m}^{-}3$

(a) Body A having density $500kg{m}^{-}3$

(b) Body B having density $2520kg{m}^{-}3$

(c) Body C having density $1100kg{m}^{-}3$

(d) Body D having density $0.85g{m}^{-}3$

Answer 1

Density of water = 1 g $c{m}^{-}3$

(a) Density of body A = $500kg{m}^{-3}$ = 0.5 = 0.5 g $c{m}^{-}3$
Density of body A is less than density of water hence A will float on water.

(b) Density of body B = 2520 $kg{m}^{-3}$ = 2520 $\times$ $\frac{1}{1000}$ = 2.52 g $c{m}^{-}3$
Density of body B is more than density of water and hence B will sink in water

(c) Density of body C = 1100kg $m^{-3}$ = 1100 kg $\times$ $\frac{1}{1000}$ = 1.1 g $c{m}^{-}3$ is greater than water.
Hence, body C will sink in water.

(d) Density of body D = 0.85 g $c{m}^{-}3$ < 1.0 g $c{m}^{-}3$
Density of body D is less than the density of water hence body D will float on water.