A) \[\sqrt{2}\pi \]
B) \[\sqrt{\frac{\pi }{2}}\]
C) \[2\pi \]
D) \[\sqrt{\frac{2}{\pi }}\]
Correct Answer: A
Solution :
[a] \[\frac{{{r}_{x}}}{{{r}_{y}}}=\sqrt{\frac{2M}{M}}\times \frac{{{A}_{x}}}{{{A}_{y}}}\]where \[{{A}_{x}}\]and \[{{A}_{y}}\]are the area of section of orifice. \[\therefore \frac{{{r}_{x}}}{{{r}_{y}}}=\sqrt{2}\times \frac{\pi {{r}^{2}}}{{{\ell }^{2}}}r=\]radius of a radius orifice \[\ell \]= length of square orifice \[\frac{{{r}_{x}}}{{{r}_{y}}}=\sqrt{2}\times \pi \]
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