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Question

If volume of a steel ball is halved and its mass remains constant, its relative density will be:

A
same
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B
doubled
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C
halved
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D
can't be determined
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Solution

The correct option is A doubled
Relative density of steel ball is given by
r=ρsρw=mVρw

where, ρs is the density of ball and ρw is the density of water
r1V (m=constant)

Hence, relative density is inversely proportional to the volume of the ball.

Thus relative density is doubled when the volume of steel ball is halved.

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