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A marble of mass x and diameter 2r is ge...

A marble of mass `x` and diameter `2r` is gently released in a tall cylinder containing honey. If the marble displaces mass `y(ltx)`of the liquid, then the terminal velocity is proportional to

A

` x + y `

B

` x - y `

C

` (x + y )/(r ) `

D

` (x - y )/( r ) `

Text Solution

Verified by Experts

The correct Answer is:
D
`v_(T)=(2r^(2)(rho-rho')g)/(9eta)," "x=(4)/(3)pir^(3)xxrho," "y=(4)/(3)pir^(3)xxrho'," "v_(T)infty((x-y)/(r))`
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