A uniform long tube is bent into a circle of radius \( R \) and it lies in a vertical plane. Two...

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A uniform long tube is bent into a circle of radius \( R \) and it lies in a vertical plane. Two liquids of same volume but densities \( \rho \) and \( \delta \) fill half the tube. The angle \( \theta \) is
[WB-JEE 2010]
(a) \( \tan ^{-1}\left(\frac{\rho-\delta}{\rho+\delta}\right) \)
(b) \( \tan ^{-1} \frac{\rho}{\delta} \)
(c) \( \tan ^{-1} \frac{\delta}{\rho} \)
(d) \( \tan ^{-1}\left(\frac{\rho+\delta}{\rho-\delta}\right) \)
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