MHT CET · Physics · Mechanical Properties of Fluids
A cylinder contains water upto a height 'H'. It has three orifices \(\mathrm{O}_1, \mathrm{O}_2, \mathrm{O}_3\) as shown in the figure. Let \(V_1, V_2, V_3\) be the speed of efflux of water from the three orifices. Then
- A \(\mathrm{V}_1=\mathrm{V}_2=\mathrm{V}_3\)
- B \(V_1 \lt V_2 \lt V_3\)
- C \(\mathrm{V}_1\gt\mathrm{V}_2\gt\mathrm{V}_3\)
- D \(\quad \mathrm{V}_1=\mathrm{V}_3\gt\mathrm{V}_2\)
Answer & Solution
Correct Answer
(B) \(V_1 \lt V_2 \lt V_3\)
Step-by-step Solution
Detailed explanation
We know,
\(V=\sqrt{2 g h}\)
...(where ' \(h\) ' is depth from the surface) ...(From figure)
\(\begin{array}{ll} & \mathrm{h}_1 \lt \mathrm{h}_2 \lt \mathrm{h}_3 \\ \therefore & \mathrm{~V}_1 \lt \mathrm{V}_2 \lt \mathrm{V}_3\end{array}\)
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