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Question

Two bodies A and B are having the same mass M. While the volume of body A is lesser than volume of body B. What is the relation between density of body A and body B.
(Take density of body  A=ρA  and density of body  B=ρb  &  volume of body  A=VA  and density of body  B=VB )
  1. ρA<ρB
  2. ρA>ρB
  3. ρA=ρB
  4. ρAρB


Solution

The correct option is B ρA>ρB
Given: mass of body A and body B =M 
We know that, 
ρ=MV
If both A and B are having the same mass, then density will only be dependent on volume.
ρ1V
Density is directly proporsional to 1V. Body A have a lesser volume comparatively body B. Then ρA will be greater than  ρB

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