A) \[[K{{V}^{-2}}{{T}^{-2}}]\]
B) \[[{{K}^{2}}{{V}^{2}}{{T}^{-2}}]\]
C) \[[{{K}^{2}}{{V}^{-2}}{{T}^{-2}}]\]
D) \[[K{{V}^{2}}{{T}^{2}}]\]
Correct Answer: A
Solution :
| [a] Surface tension,\[T=\frac{F}{\ell }=\frac{F}{\ell }.\frac{\ell }{\ell }.\frac{{{T}^{2}}}{{{T}^{2}}}\] |
| (As,\[F.\ell =K\](energy)\[\frac{{{T}^{2}}}{{{\ell }^{2}}}={{V}^{-2}}\]) |
| Therefore, surface tension\[=[K{{V}^{-2}}{{T}^{-2}}]\] |
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