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The terminal velocity V of a spherical b...

The terminal velocity V of a spherical ball of lead of radius R falling through a viscous liquid varies with R such that

A

`(V)/(R )=" Constant"`

B

`VR="Constant"`

C

`V="Constant"`

D

`(V)/(R^(2))="Constant"`

Text Solution

Verified by Experts

The correct Answer is:
D
`(V)/(R^(2))=(2(rho-rho_(0))g)/(eta),(V)/(R^(2))="cons "tant`
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Knowledge Check

  • The terminal velocity of small sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality

    A
    `(1)/(r^(2))`
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    `r^(2)`
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    `1/r`
    D
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    `(1)/(r)`
    C
    r
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    `r^(2)`

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    A
    R
    B
    `(1)/(R)`
    C
    `R^(2)`
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