A) \[\frac{2S}{{{R}_{2}}\rho g}\]
B) \[\frac{2S}{{{R}_{1}}\rho g}\]
C) \[\frac{S}{({{R}_{2}}-{{R}_{1}})\rho g}\]
D) \[\frac{2S}{({{R}_{2}}-{{R}_{1}})\rho g}\]
Correct Answer: D
Solution :
[d] Net upward force \[=2\pi {{R}_{2}}S+2\pi {{R}_{1}}S\] [since contact angle\[=0{}^\circ \]] \[\therefore \] Capillary rise is given by \[h=\frac{2\pi S({{R}_{1}}+{{R}_{2}})}{\pi (R_{2}^{2}-R_{1}^{2})\rho g}=\frac{2S}{\left( {{R}_{2}}-{{R}_{1}} \right)\rho g}\]You need to login to perform this action.
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