Two orifices of the same size at depth of $25 c m$ and $100 c m$ under the surface of water. The discharge ratio through these orifices are

1 : 3

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2 : 3

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1 : 2

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2 : 5

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Solution

The correct option is C $1 : 2$
$\frac{Q_{1}}{Q_{2}} = \frac{V_{1}}{V_{2}} = \sqrt{\frac{2 g h_{1}}{2 g h_{2}}} = \sqrt{\frac{h_{1}}{h_{2}}}$

$\frac{Q_{1}}{Q_{2}} = \sqrt{\frac{25}{100}} = \frac{1}{2}$

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Two orifices of the same size at depth of 25 cm and 100 cm under the surface of water. The discharge ratio through these orifices are

The correct option is C 1:2Q1Q2=V1V2=√2gh12gh2=√h1h2 Q1Q2=√25100=12

Two orifices of the same size at depth of $25 c m$ and $100 c m$ under the surface of water. The discharge ratio through these orifices are

The correct option is C $1 : 2$
$\frac{Q_{1}}{Q_{2}} = \frac{V_{1}}{V_{2}} = \sqrt{\frac{2 g h_{1}}{2 g h_{2}}} = \sqrt{\frac{h_{1}}{h_{2}}}$

$\frac{Q_{1}}{Q_{2}} = \sqrt{\frac{25}{100}} = \frac{1}{2}$