A) \[\frac{{{n}^{2}}h}{{{(n+1)}^{2}}s}\]
B) \[\frac{h}{({{n}^{2}}+1)\,s}\]
C) \[\frac{h}{{{(n+1)}^{2}}s}\]
D) \[\frac{h}{{{n}^{2}}s}\]
Correct Answer: B
Solution :
If the level in narrow tube goes down by h1 then in wider tube goes up to h2, Now, \[\pi {{r}^{2}}{{h}_{1}}=\pi {{(nr)}^{2}}{{h}_{2}}\]Þ \[{{h}_{1}}={{n}^{2}}{{h}_{2}}\] Now, pressure at point A = pressure at point B \[h\rho g=({{h}_{1}}+{{h}_{2}})\rho 'g\] Þ h = \[({{n}^{2}}{{h}_{2}}+{{h}_{2}})sg\] \[\left( \text{As}\ s=\frac{\rho '}{\rho } \right)\] Þ \[{{h}_{2}}=\frac{h}{({{n}^{2}}+1)s}\]You need to login to perform this action.
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