NEET 2019 · PhysicsEfflux speedPrevious Year Question
A small hole of cross-sectional area 2 mm² is present near the bottom of a fully filled open tank of height 2 m. Taking g = 10 m s⁻², the rate of flow of water through the open hole would be nearly:
Answer: (A) 12.6 × 10⁻⁶ m³ s⁻¹. Torricelli efflux speed: v = √(2gh) = √(2×10×2) = √40 ≈ 6.32 m s⁻¹.
- A.12.6 × 10⁻⁶ m³ s⁻¹✓
- B.8.9 × 10⁻⁶ m³ s⁻¹
- C.2.23 × 10⁻⁶ m³ s⁻¹
- D.6.4 × 10⁻⁶ m³ s⁻¹
Correct Answer
(A) 12.6 × 10⁻⁶ m³ s⁻¹
Solution & Explanation
Torricelli efflux speed: v = √(2gh) = √(2×10×2) = √40 ≈ 6.32 m s⁻¹. Flow rate Q = a·v = 2×10⁻⁶ × 6.32 ≈ 12.6 × 10⁻⁶ m³ s⁻¹.
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