A tube of length L is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm, respectively. If the velocity of water entering at point (1) is 2 m/s, then velocity of water leaving the point (2) will be:

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Solution

Q.

A tube of length L is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm, respectively. If the velocity of water entering at point (1) is 2 m/s, then velocity of water leaving the point (2) will be: [2025]

1 2 m/s

2 4 m/s

3 6 m/s

4 8 m/s

Ans.
(4)

$A_{1} V_{1} = A_{2} V_{2}$

$\Rightarrow 2 π {(2 R)}^{2} = V_{2} π R^{2}$

$∴ V_{2} = 8 m / s$

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