A piston of cross-sectional area 2.0 cm² pushes liquid through a tube whose outlet area is 10 mm². If the piston speed is 4 cm s⁻¹, the outgoing fluid speed is ______ cm s⁻¹. Image
Physics · Circular Motion
JEE Mains 10 April 2023 Shift 2 Evening Shift

Question

A piston of cross-sectional area 2.0 cm² pushes liquid through a tube whose outlet area is 10 mm². If the piston speed is 4 cm s⁻¹, the outgoing fluid speed is ______ cm s⁻¹. Image

G1 Physics · Accepted Answer

Use the continuity equation: A₁v₁ = A₂v₂ Given: A₁ = 2.0 cm² A₂ = 10 mm² = 0.10 cm² v₁ = 4 cm s⁻¹ Therefore, v₂ = A₁v₁/A₂ = (2.0×4)/0.10 = 80 cm s⁻¹ Final value: 80