A piece of metal of mass 17 g is tied to cork of mass 5 g and the combination floats without sinking in water. If relative density of cork is 0.25 and water 1, the relative density of metal is :

Options

A. 2
B. 5
C. 8.5
D. 10.5

Answer

C

Explanation

Since the combination is floating in water R.D. of water
= R.D. of combination
`=(m_(1)+m_(2))/([(m_(1))/(d_(1))(m_(2))/(d_(2))])=(17+5)/(17/(d_(1))+5/(0.25))` or `d_(1)=8.5`.
Correct choice is (c).