A Cube made of material having density of 0.9 xx 10^(3) kg m^(-3) floats between water and a liquid of density 0.7 xx 10^(3) kg//m^(3) which is immiscible with water. What part of cube is immersed in water.

A Cube made of material having density of 0.9 xx 10^(3) kg m^(-3) floa

1.	A Cube made of material having density of 0.9 xx 10^(3) kg m^(-3) floats between water and a liquid of density 0.7 xx 10^(3) kg//m^(3) which is immiscible with water. What part of cube is immersed in water.
Answer» `1/3` `3/4` `2/3` `3/7` Solution :Let a be the SIDE of the cube and x be the length dipping in WATER and (a -x) in the liquid `thereforea^(3)xx0.9xx10^(3)g=a^(2)xx x xx 1000g+a^(2)(a-x)xx0.7xx10g` `axx0.9=x+(a-x)0.7` `0.3x=0.2a` `x/a=2/3` Thus correct choice is (c).

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A Cube made of material having density of 0.9 xx 10^(3) kg m^(-3) floats between water and a liquid of density 0.7 xx 10^(3) kg//m^(3) which is immiscible with water. What part of cube is immersed in water.

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