A container is partially filled with a liquid of density \( \rho_{2} \). A capillary tube of rad...

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A container is partially filled with a liquid of density \( \rho_{2} \). A capillary tube of radius \( r \) is vertically inserted in this liquid. Now another liquid of density \( \rho_{1}\left(\rho_{1}\rho_{2}\right) \) is slowly poured in the container to a height \( h \) as shown. There is only denser liquid in the capillary tube. The rise of denser liquid in the capillary tube is also \( h \). Assuming zero contact angle, the surface tension of heavier liquid is
(1) \( r \rho_{2} g h \)
(2) \( 2 \pi r \rho_{2} g h \)
(3) \( \frac{r}{2}\left(\rho_{i}-\rho_{1}\right) g h \)
(4) \( 2 \pi r\left(\rho_{2}-\rho_{1}\right) g h \)
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