Question

Please explain the meaning of q 165 with answers?

Answer 1

The answer is `"option (4)"`

Explanation:

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)"`