Assume that the frequency of oscillating …
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Yogita Ingle 3 years, 11 months ago
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.
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