Question

The terminal velocity of a tiny droplet is v. N is the number of such identical droplets combine together to form bigger drop. Find the terminal velocity of bigger drop??​

Answer 1

Dear Student,

● Answer -

V = v.N^(2/3)

◆ Explanation -

Radius of the bigger drop is given by -

R = r ∛N

Terminal velocity of the droplet is directly proportional to sauare of its radius.

v ∝ r^2

Ratio of velocity of bigger drop to smaller drop is -

V/v = (R/r)^2

V/v = (r∛N/r)^2

V/v = N^(2/3)

V = v.N^(2/3)

Hence, terminal velocity of bigger drop is v.N^(2/3).

Thanks dear. Hope this helps you...