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A sperical body of mass m and radius r i...

A sperical body of mass `m` and radius `r` is allowed to fall in a medium of viscosity `eta`. The time in which the velocity of the body increases from zero to `0.63 ` times the terminal velocity `(v)` is called constant `(tau)`. Dimensionally , `tau` can be represented by

A

`(mr^(2))/(6pi eta)`

B

`sqrt(((6pimr eta)/(g^(2))))`

C

`(m)/(6pi eta r v)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
None of the expressions has the dimensions of time.
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