Question

the frequency n of an oscillating liquid Drop may depend upon the radius r of the drop, density p and surface tension as of the liquid.
obtain a formula for the frequency by the method of dimensions

Answer 1

Dimensional analysis for formula of frequency of oscillating liquid drop.

r= radius = [L].
d= p= density = [M ][L^-3]
S = Surface Tension = [M T^-2]

n = frequency = k* r^a * p^b * S^c.

So [T^-1] = [M^b+c] [L^a-3b] [T^-2c]

Equating powers: a = -3/2. b= -1/2. c=1/2.

Answer: n = k* sqrt(S/(p*r^3))
Or n = k* sqrt (S/m).
m = mass of the drop.

Answer 2

Answer:

Explanation:

Here is your answer