If the terminal speed of a sphere of gold (density =19.5kgm^(-3)) density of liquid =1.5kgm^(-3)) is 0.2ms^(-1) in a viscous liquid . What is the terminal speed of a sphere of silver (density =10.5kgm^(-3)) of the same size in the same liquid ?

If the terminal speed of a sphere of gold (density =19.5kgm^(-3)) dens

1.	If the terminal speed of a sphere of gold (density =19.5kgm^(-3)) density of liquid =1.5kgm^(-3)) is 0.2ms^(-1) in a viscous liquid . What is the terminal speed of a sphere of silver (density =10.5kgm^(-3)) of the same size in the same liquid ?
Answer» `0.2ms^(-1)` `0.4ms^(-1)` `0.133ms^(-1)` `0.1ms^(-1)` Solution :Terminal velocity `v_(t)=(2)/(9)(R^(2)g)/(N)(RHO-rho_(o))` (Here , `(2)/(9)*(r^(2)g)/(n)`is constant) `thereforev_(t)prop(rho-rho_(o))` `THEREFORE((v_(t))g)/((v_(t))_(s))=(rho_(g)-rho_(o))/(rho_(s)-rho_(o))=(19.5-1.5)/(10.5-1.5)=(18)/(9)=2` `therefore(v_(t))_(s)=((v_(t))g)/(2)=(0.2)/(2)=0.1ms^(-1)`