1.

A body floats with one-third of its volume outside water and `3//4` of its volume outside another liquid. The density of another liquid is :A. `9/4`B. `4/9`C. `8/9`D. `8/3`

Answer» Correct Answer - C
Let density of body be `sigma`
`(sigma)/(rho_w) = 1 -1/3 = 2/3` ..(1)
`(sigma)/(rho_l) = 3/4` …(2)
From (1) and (2) , `(rho_l)/(rho_w) = 8/9`
`implies rho_(l) = 8/9 rho_(w) = 8/9 xx 1 = 8/9 g cm^(-3)`.


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