Two unequal blocks placed over each other of densities `sigma_(1)` and `sigma_(2)` are immersed in a fluid of density of `sigma`. The block of density `sigma_(1)` is fully submerged so that ratio of their masses is `1/2` and `sigma//sigma_(1)=2` and `sigma//sigma_(2)=0.5`. Find the degree of submergence of the upper block of density `sigma_(2)`.

Options

A. `50%` submerged
B. `25%` submerged
C. `75%` submerged
D. fully submerged

Answer

D

Explanation

`(m_(1)+(m_(2))/K)g=[(m_(1))/(sigma_(1))+(m_(2))/(Ksigma_(2))]sigmag`
Divide by `m_(2)g, (m_(1))/(m_(2))+1/K=(m_(1)sigma)/(m_(2)sigma_(1))+sigma/(Ksigma_(2))`
`(m_(1))/(m_(2)).2+1/K.0.5=`(values are given)
`(m_(1))/(m_(2))=0.5/K,K=1.0,` fully submerged.