An object is put one by one in three liquids having different densities. The object floats with $\frac{1}{9}$ , $\frac{2}{11}$ and $\frac{3}{7}$ parts of their volumes outside the liquidsurface in liquids of densities $d_{1}$ , $d_{2}$ and $d_{3}$ respectively. Which of the following statement is correct?

d_{1} > d_{2} > d_{3}

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d_{1} > d_{2} < d_{3}

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d_{1} < d_{2} > d_{3}

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d_{1} < d_{2} < d_{3}

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Solution

The correct option is A $d_{1} > d_{2} > d_{3}$
Less the density more the buoyant force acting in an upward direction and more part will be outside, so the order of density will be $d_{1} > d_{2} > d_{3}$ .

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Similar questions

\frac{1}{9}

\frac{2}{11}

\frac{3}{7}

d_{1}

d_{2}

d_{3}

\frac{1}{9}, \frac{2}{11} and \frac{3}{7}

\frac{1}{9}, \frac{2}{11}

\frac{3}{7}

d_{1}, d_{2}

d_{3}

A body weighs $W_{1}$ in a liquid of density $d_{1}$ and $W_{2}$ in a liquid of density $d_{2}$ . What is the weight in a liquid of density $d_{3}$ ?

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