Question

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)`.
A. `50%` submerged
B. `25%` submerged
C. `75%` submerged
D. full submerged

Answer 1

Correct Answer - D
`(m_(1)+(m_(2))/(K))g=[(m_(1))/(sigma_(1))+(m_(2))/(Ksigma_(2))]sigmag`
dividing 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,(m_(1))/(m_(2))=(0.5)/(K),K=1.0` fully submerged