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A solid shell loses half of its weight in water.Relative density of shell is 0.5 what fraction of its volume is hollow? 1.3/5 2.2/5 3.1/5 4.4/5 My answer came 1/5 but book's answer is 3/5.Please help me in this question.

A solid shell loses half of its weight in water.Relative density of shell is 0.5 what fraction of its volume is hollow?
1.3/5
2.2/5
3.1/5
4.4/5
My answer came 1/5 but book's answer is 3/5.Please help me in this question.

Grade:12th pass

1 Answers

Vikas TU
14149 Points
5 years ago
For answer to be 3/5 the relative density must be 5 not 0.5.
 
Let h be the fraction of hollow part and density is 5x 10^3 kg/m^3
W = (V  – hV )5*9.8
And weight diaplced from archi,eds principle => V*9.8*10^3
Equating both we get,
h = 3/5.

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