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What is the velocity v of a metallic bal...

What is the velocity v of a metallic ball of radius r falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are r and s respectively, and the viscosity of the liquid is `eta`).

A

`(r^2 g)/(9eta)(rho-2sigma)`

B

`(r^2 g)/(9eta)(2rho-sigma)`

C

`(r^2 g)/(9eta)(rho-sigma)`

D

`(2r^2 g)/(9eta)(rho-sigma)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since,`v_T=2/9 r^2((g.)/(eta))(rho-sigma)=(r^2 g)/(9 eta)(rho-sigma). `(:. g.=g/2)`
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