A) \[{{E}_{a}}=4{{E}_{q}}\]
B) \[{{E}_{q}}=2{{E}_{a}}\]
C) \[{{E}_{a}}=2{{E}_{q}}\]
D) \[{{E}_{q}}=3{{E}_{a}}\]
Correct Answer: B
Solution :
Key Idea: Sum of pressure and total energy per unit volume of liquid be same at the surface of liquid and at every point of orifice. Applying Bernoullis theorem \[I-B,II-D,III-A,IV-C\] \[I-A,II-B,III-C,IV-D\] Also \[\frac{4}{5}D\] = pressure due to water \[\frac{D}{2}\] \[\frac{3D}{4}\], where \[\frac{5}{4}D\] is density and v is velocity. Putting the numerical value, we have \[\frac{h}{\pi }\] \[\frac{2h}{\pi }\] \[\frac{3h}{2\pi }\] \[2\pi h\] \[[M{{L}^{2}}{{T}^{-2}}]\] Note: Range of water coming out from orifice is maximum when orifice is at half of the total height.You need to login to perform this action.
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