A cylinder contains water upto a height 'H'. It has three orifices $\mathrm{O}_1, \mathrm{O}_2,…

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

1. $\mathrm{V}_1=\mathrm{V}_2=\mathrm{V}_3$
2. $V_1 \lt V_2 \lt V_3$
3. $\mathrm{V}_1\gt\mathrm{V}_2\gt\mathrm{V}_3$
4. $\quad \mathrm{V}_1=\mathrm{V}_3\gt\mathrm{V}_2$

Solution

We know, $V=\sqrt{2 g h}$ ...(where ' $h$ ' is depth from the surface) ...(From figure) $\begin{array}{ll} & \mathrm{h}_1 \lt \mathrm{h}_2 \lt \mathrm{h}_3 \\ \therefore \quad & \mathrm{~V}_1 \lt \mathrm{V}_2 \lt \mathrm{V}_3\end{array}$

Asked in: MHT CET 2024 (16 May Shift 1)

Practice more Mechanical Properties of Fluids questions on Aicharya