JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
A water spray gun is attached to a hose of cross sectional area \(30\) cm\(^2\). The gun comprises of \(10\) perforations each of cross sectional area \(15\) mm\(^2\). If the water flows in the hose with the speed of \(50\) cm/s, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)
- A \(100\) m/s
- B \(10\) m/s
- C \(1000\) m/s
- D \(15 \times 10^2\) m/s
Answer & Solution
Correct Answer
(B) \(10\) m/s
Step-by-step Solution
Detailed explanation
From the equation of continuity: \(A_1 v_1 = n A_2 v_2\) Here, \(A_1 = 30 \text{ cm}^2 = 30 \times 10^{-4} \text{ m}^2\) \(v_1 = 50 \text{ cm/s} = 0.5 \text{ m/s}\) \(n = 10\) \(A_2 = 15 \text{ mm}^2 = 15 \times 10^{-6} \text{ m}^2\) Substituting the given values:…
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