Please explain the meaning of q 165 with answers?

enter image source here

1 Answer
Apr 7, 2018

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)"#