the frequency (f) of an oscillating drop depends upon radius (r)of the drop , density(P)of the liquid and the surface tension(t) of the liquid .find the expression of the frquency(k is the dimensional constant). a) F=k*(t/pr^2)^1/3 b)F=k*(t/pr^3)^1/2 c)F=k*(p/tr^3)^1/2 d)None of these find the right answer

Asked by pooja dev | 9th Jun, 2011, 12:00: AM

Expert Answer:

let frequency, ? = k ra pb tc 
 
Putting the dimensions of quantities, we have
 
[T-1] = 1 [L]a [ML-3]b [MT-2]c
 
comparing the powers we have
 
-2c = -1, c = 1/2;
 
b + c = 0, b = - 1/2;
 
a - 3b = 0, a = - 3/2;
 
Therefore, ? = k sqrt (t / P r3)
So, b is correct.

Answered by  | 13th Jun, 2011, 02:23: PM

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