A tube of length L is shown in the figure. The radius of cross… | JEE Main 2025 (22 Jan, Shift 2)

Q9JEE Main 2025 · 22 JAN · SHIFT 2Difficult

Bernoulli's Equation

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 $2\text{ m/s}$ , then velocity of water leaving the point (2) will be

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Answer: (d)

Continuity: $\pi r_1^2 v_1 = \pi r_2^2 v_2 \Rightarrow v_2 = \left(\frac{r_1}{r_2}\right)^2 v_1$
$v_2 = \left(\frac{2}{1}\right)^2 (2) = 8\text{ m/s}$
So the answer is (d) 8 m/s.

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