A tube of length L has radius 2 cm at point (1) and 1 cm at point (2). If velocity of water entering at point (1) is 2 text m/s , the velocity of water leaving at point (2) will be:

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EEJ MAIN Physics QUESTION #997

Question 1

A tube of length \(L\) has radius 2 cm at point (1) and 1 cm at point (2). If velocity of water entering at point (1) is \(2\ \text{m/s}\), the velocity of water leaving at point (2) will be:

4 m/s
2 m/s
6 m/s
8 m/s✔️

Correct Answer Explanation

By continuity equation: \(A_1 v_1 = A_2 v_2\). \(\pi(2)^2 \times 2 = \pi(1)^2 \times v_2 \Rightarrow v_2 = \frac{4\times2}{1} = 8\ \text{m/s}\).

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