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A sphere is made of an alloy of Metal A ...

A sphere is made of an alloy of Metal A (density `8 g//cm^(3)`) and Metal B (density `6g//cm^(3)`). The sphere floats in mercury (density `13.6 g//cm^(3)`) with half its volume submerged. The percentage of the total volume of the sphere that is occupied by metal A is ___________ .

Text Solution

Verified by Experts

The correct Answer is:
40
Let the fraction of Metal A be x
Let the total volume of the sphere be V
Then, Weight = Buoyant force
`implies[8x+6(1-x)]Vg=(1)/(2)(13.6)Vgimpliesx=0.4`
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