MHT CET20228 Aug 2022Morning ShiftPhysicsMechanical Properties of FluidsActual
Two rain drops of same radius r falling with terminal velocity V merge and form bigger drop with radius R , terminal velocity is
Options
- AV R^2 r^2
- BV R r
- CV r^2 R^2
- D2 V R r
Correct answer
A. V R^2 r^2
Step-by-step solution
Expression for terminal velocity can be obtained by balancing weight of the droplet with viscous retardation force and the buoyancy force. Terminal velocity is given by v= 2 9 ( r^2( - ) ) v r^2 Now, let V^ be the terminal velocity of the merged droplet aligned & V V^ = r^2 R^2 & V^ = V R^2 r^2 aligned