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Question: Answered & Verified by Expert
A spherical ball of density ρ and radius 0.003 m is dropped into a tube containing a viscous fluid, filled up to the 0 cm mark as shown in the figure. Viscosity of the fluid =1.260 N m-2 s-1 and its density ρ L = ρ/2=1260 kg m-3. Assume the ball reaches a terminal speed by the 10 cm mark. Find the time taken by the ball to traverse the distance between the 10 cm and 20 cm mark. [g = acceleration due to gravity = 10 m s-2​​ ]
PhysicsMechanical Properties of FluidsJEE Main
Options:
  • A 2 s
  • B 3 s
  • C 5 s
  • D 1.5 s
Solution:
1867 Upvotes Verified Answer
The correct answer is: 5 s
Terminal Velocity:

V T = 2 9 × r 2 ρ - ρ L g η

VT=29×3×10-32×1260×101.260

VT=2×10-2 m s-1

VT=2 cm s-1

t=10 cmVT

t=5 s

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