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

remains constant

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is reduced by half

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becomes twice

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is reduced to quarter

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Solution

The correct option is B is reduced by half
Density is given by:
$ρ = \frac{M}{V}$
where:
$M : Mass of body$
$V : Volume of body$

Given, new volume is:
$V^{'} = 2 V$

Hence, new density is:
$ρ^{'} = \frac{M}{V^{'}}$
$ρ^{'} = \frac{M}{2 V}$
$ρ^{'} = \frac{ρ}{2}$

Hence, density reduces by half.

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

The correct option is B is reduced by halfDensity is given by: ρ=MV where: M: Mass of body V: Volume of body Given, new volume is: V′=2V Hence, new density is: ρ′=MV′ ρ′=M2V ρ′=ρ2 Hence, density reduces by half.

The correct option is B is reduced by half
Density is given by:
$ρ = \frac{M}{V}$
where:
$M : Mass of body$
$V : Volume of body$

Given, new volume is:
$V^{'} = 2 V$

Hence, new density is:
$ρ^{'} = \frac{M}{V^{'}}$
$ρ^{'} = \frac{M}{2 V}$
$ρ^{'} = \frac{ρ}{2}$

Hence, density reduces by half.