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  • A solid body is found floating in water <img alt="\left (\frac{ \alpha }{\beta} \right )^{th}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cleft%20%

A solid body is found floating in water \left (\frac{ \alpha }{\beta} \right )^{th}  of its volume submerged. The same solid body is found floating in a liquid with  \left (\frac{ \alpha }{\beta} \right )^{th}  of its volume above the liquid surface. The specific gravity of the liquid is.

 

Option: 1

\frac{\beta-\alpha}{\alpha}


Option: 2

\frac{\alpha-\beta}{\beta}


Option: 3

\frac{\alpha}{\beta-\alpha}


Option: 4

\frac{\beta}{\alpha-\beta}


Answers (1)

best_answer

\text { use, } \frac{\alpha}{\beta}=\frac{P_b}{P_\omega} \text { and } 1-\frac{\alpha}{\beta}=\frac{P_b}{P_l}

on solving above equations, we get 

\frac{P_l}{P_\omega}=\frac{\alpha}{\beta-\alpha}

Posted by

seema garhwal

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