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A spherical ball falls through a viscous...

A spherical ball falls through a viscous medium with terminal velocity `v`. If this ball is replaced by another ball of the same mass but half the radius, then the terminal velocity will be (neglect the effect of buoyancy.)

A

velocity of flow through pipe is `6sqrt(2)(m)/(s)`

B

2v

C

4v

D

8v

Text Solution

Verified by Experts

The correct Answer is:
D
`m=(4)/(3)pir^(3)rhog`
`v_(0)alphar^(2)rho,v_(0)alpha(r^(2))/(4).(8rho)alpha2r^(2)rho`
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