MHT CET20249 May 2024Evening ShiftPhysicsMechanical Properties of FluidsActual
Two identical drops of water are falling through air with steady velocity ' V '. If the two drops come together to form a single drop. The new velocity of the single drop is
Options
- A(2)^ 1 / 3 ~V
- B(2)^ 3 / 2 ~V
- C(2)^ 2 / 3 ~V
- D(2)^ 1 / 4 ~V
Correct answer
C. (2)^ 2 / 3 ~V
Step-by-step solution
Let the radius of the 2 rain droplets be r each. They coalesce to form a drop of radius R . As volume is conserved, R ^3=2 r ^3 R=2^ i 3 r Terminal velocity V = 2 9 r ^2( - ) g V r ^2 V ^ = V R ^2 r ^2 = V 2^ 2 3 r ^2 r ^2 = V 2^ 2 / 3