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Archimedes' Principle

A body of den...

Question

A body of density d and volume V floats with volume $V_{1}$ of it immersed in a liquid of density $d_{1}$ and rest of the volume $V_{2}$ immersed in another liquid of density $d_{2}$ (< $d_{1}$ ) then $V_{1}$ is

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Solution

The correct option is A

Vdg = ( $V_{1} d_{1}$ + $V_{2} d_{2}$ )g

$∴$ = $V_{1}$ + $V_{2}$

V $d_{2}$ g = $V_{1}$ $d_{2}$ g + $V_{2}$ $d_{2}$ g

$V_{1}$ = $[\frac{d - d_{2}}{d_{1} - d_{2}}]$ V

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