Please explain the meaning of q 165 with answers?

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Answer 1 · 2018-04-07T17:40:15

The answer is $"option (4)"$

Let the mass of the body be $=m$

Then the volume of the body is $v=m/d_1$

The mass of air displaced is $vd=md/d_1$

The apparent weight of the body is

$m'g=(m-md/d_1)g=m(1-d/d_1)g$

Let the mass of the weights be $=M$

Then the volume of the weights is $V=M/d_2$

The mass of air displaced is $Vd=Md/d_2$

The apparent weight of the weights is

$M'g=(M-Md/d_2)g=M(1-d/d_2)g$

But,

$m'g=M'g$

$m(1-d/d_1)g=M(1-d/d_2)g$

$m=M(1-d/d_2)/(1-d/d_1)$

The answer is $"option (4)"$