STANDARDPhysics-Fluid Mechanics

STANDARD Physics Viscous Force and Terminal Velocity MCQ Question

Type: MCQ-numerical-Medium

A metallic sphere of mass M falls through glycerine with a terminal velocity v. If we drop a ball of mass 8 M of same metal into a column off glycerine, the terminal velocity of the ball will be

A

2v

B

4v

C

8v

D

16v

Correct Answer

Option B

Detailed Explanation

The terminal velocity is proportional to the square of the radius. Since the volume is proportional to the mass, the radius of the new sphere is twice that of the original. Hence, the terminal velocity becomes 4 times.

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