Water flows through a horizontal pipe of varying cross-section at the rate of π × 10⁻¹ m³/s. The velocity of water at a point where the radius of the pipe is 10 cm is (π = 3.14) (a) 0.1 m/s (b) 1 m/s (c) 10 m/s (d) 100 m/s

Answer: (c). Rate of flow Q = Av = π r² v. v = π × 10⁻¹π (0.1)² = 10⁻¹10⁻² = 10 m/s So the answer is (c) 10 m/s.

Water flows through a horizontal pipe of varying cross-section at the… | MHT CET 2025 (21 Apr, Shift 2)

Q6MHT CET 2025 · 21 APR · SHIFT 2Easy

Types of Flow, Reynolds Number & Continuity

Water flows through a horizontal pipe of varying cross-section at the rate of $\pi \times 10^{-1}\text{ m}^3/\text{s}$ . The velocity of water at a point where the radius of the pipe is 10 cm is $(\pi = 3.14)$

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Answer: (c)

Rate of flow $Q = Av = \pi r^2 v$ .
$v = \dfrac{\pi \times 10^{-1}}{\pi (0.1)^2} = \dfrac{10^{-1}}{10^{-2}} = 10\text{ m/s}$
So the answer is (c) $10\text{ m/s}$ .

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