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Q.

Assertion(A): Two identical spheres of same material  half filled with two liquids of densities ρ1 and  ρ2(>ρ1).The centre of mass of both the (sphere + liquid) systems lie at same level.
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Reason(R): The center of mass of a system depends on distribution of mass of the system

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a

If Assertion is incorrect but Reason is correct

b

If both Assertion And Reason are correct but reason is not the correct explanation of Assertion.

c

If Assertion is correct but Reason is incorrect.

d

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.  

answer is A.

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Detailed Solution

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COM of sphere and the liquid will be at the same position in both cases, but the mass of the liquid will be larger in case (b) having liquid of larger density. So, the center of mass of the liquid sphere system in case (b) will be lower than the system in case (a) having liquid of smaller density. 

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