A) \[2.3\text{ }mm\]
B) \[4.6\text{ }mm\]
C) \[6.2\text{ }mm\]
D) \[8.4\text{ }mm\]
Correct Answer: B
Solution :
[b] Consider a thin plane layer of water, which is located near the opening, whose thickness in the direction of normal to the plane of growing is a. In equilibrium, \[\sigma a+\sigma a\cos \theta =\frac{\rho gh}{2}ha\] \[\sigma a(1+\cos \theta )=\frac{g\rho {{h}^{2}}a}{2}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,h=\sqrt{\frac{2\sigma (1+cos\theta )}{\rho g}}=\sqrt{\frac{0.07\times 3}{{{10}^{3}}\times 10}}\] \[=4.6\times {{10}^{-3}}=4.6mm\]You need to login to perform this action.
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