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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_(0)=2/9(r^(2)(rho-rho')g)/(eta)`
Now, `x=4/3pir^(3)rho` or `rhopropx/(r^(3))`
Similarly `rho'propy/(r^(3))`
`:. v_(0)prop(x-y)/r`
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