The ratio of surface tensions of mercury and water is given to be 7.5, while the ratio of their densities is 13.6. Their contact angles, with glass, are close to $135 ^ { \circ }$ and $0 ^ { \circ }$, respectively. If it is observed that mercury gets depressed by an amount $h$ in a capillary tube of radius $r _ { 1 }$, while water rises by the same amount $h$ in a capillary tube of radius $r _ { 2 }$, then the ratio $\frac { r _ { 1 } } { r _ { 2 } }$ is close to (1) $\frac { 3 } { 5 }$ (2) $\frac { 2 } { 3 }$ (3) $\frac { 4 } { 5 }$ (4) $\frac { 2 } { 5 }$
The ratio of surface tensions of mercury and water is given to be 7.5, while the ratio of their densities is 13.6. Their contact angles, with glass, are close to $135 ^ { \circ }$ and $0 ^ { \circ }$, respectively. If it is observed that mercury gets depressed by an amount $h$ in a capillary tube of radius $r _ { 1 }$, while water rises by the same amount $h$ in a capillary tube of radius $r _ { 2 }$, then the ratio $\frac { r _ { 1 } } { r _ { 2 } }$ is close to\\
(1) $\frac { 3 } { 5 }$\\
(2) $\frac { 2 } { 3 }$\\
(3) $\frac { 4 } { 5 }$\\
(4) $\frac { 2 } { 5 }$