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Question

A body of mass 'm' expands and its volume increases to two times its original volume. The density of the body .


A
remains constant
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B
is reduced by half
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C
becomes twice
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Solution

The correct option is B is reduced by half
Let the initial mass and volume be 'm' and 'v' respectively and the density be d1. From definition of density,
d1=mv
When the volume is doubled, the density d2 becomes:
d2=m2v
d2=12×mv
d2=12×d1
the density becomes half of the original.

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