If the terminal speed of a sphere of gold (density `=19.5kg//m^3`) is `0.2m//s` in a viscous liquid (density `=1.5kg//m^3`), find the terminal speed of a sphere of silver (density `=10.5kg//m^3`) of the same size in the same liquid

Options

A. 0.4 m/s
B. 0.133 m/s
C. 0.1 m/s
D. 0.2 m/s

Answer

C

Explanation

Terminal velocity ,` v _(T) = (2 r ^(2) (d _(1) -d _(2) )g )/( 9 eta)`
`(vT _(2))/( 0.2) = ((10. 5 - 1. 5))/((19.5-1.5)) implies v T _(2) = 0.2 xx (9)/(18)`
`therefore vT _(2) = 0.1 m//s`