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Byju's Answer

Standard XII

Physics

Speed of Efflux

In a containe...

Question

In a container having water filled upto a height h, a hole is made in the bottom. The velocity of the water flowing out of the hole is:

independent of h

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proportional to

h^{1 / 2}

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proportional to h

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proportional to

h^{2}

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Solution

The correct option is B proportional to $h^{1 / 2}$
According to Torricelli's Theorem velocity of efflux i.e. the velocity with which the liquid flows out of a hole is equal to $\sqrt{2 g h}$ where $h$ is the depth of the hole below the liquid surface.
So $v \propto \sqrt{h}$ .

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In a container having water filled upto a height h, a hole is made in the bottom. The velocity of the water flowing out of the hole is:

The correct option is B proportional to h1/2According to Torricelli's Theorem velocity of efflux i.e. the velocity with which the liquid flows out of a hole is equal to √2gh where h is the depth of the hole below the liquid surface.So v∝√h.

The correct option is B proportional to $h^{1 / 2}$
According to Torricelli's Theorem velocity of efflux i.e. the velocity with which the liquid flows out of a hole is equal to $\sqrt{2 g h}$ where $h$ is the depth of the hole below the liquid surface.
So $v \propto \sqrt{h}$ .