The angle of contact between glass and water is `0^@` and water (surface tension `70 dyn//cm`) rises in a glass capillary up to `6 cm`. Another liquid of surface tension `140 dyn//cm`, angle of contact `60^@` and relative density `2` will rise in the same capillary up to

Options

A. `12cm`
B. `24cm`
C. `3cm`
D. `6cm`

Answer

C

Explanation

`(h_(2))/(h_(1))=(sigma_(2)costheta_(2))/(rho_(2))xx(rho_(1))/(sigma_(1)costheta_(1))`
or `(h_(1))/(h_(2))=(140xx1/2)/2xx1/(70xx1)` or `h_(2)=(h_(1))/2 =6/2cm=3cm`