A solid weighs 4.8g in air, 2.8g in water and 3.2g in kerosine. The ratio of density of the solid to that of the kerosine is

A.

12

B.

3

C.

2

D.

\(\frac{3}{2}\)

E.

\(\frac{5}{4}\)

Correct answer is B

Relative density of solid = \(\frac{\text{weight of solid}}{\text{weight of an equal volume of water}}\)

\(\frac{4.8}{4.8 -3.2}\) = \(\frac{4.8}{2}\) = 2.4

Ratio of density of liquid = \(\frac{\text{weight of liquid kerosine}}{\text{weight of an equal volume of water}}\)

= \(\frac{4.8 - 3.2}{4.8 - 2.8}\) = \(\frac{1.6}{2}\)

= 0.8

= \(\frac{\text{density of solid}}{\text{density of kerosine}}\)

= \(\frac{2.4}{0.8}\) = 3