CBSE Class 11-science Answered
The oscillations can be measured by frequency of oscillation, f.
T PaρbEc where, symbols have their usual meaning.
Writing in terms of dimensions,
[T] = [ML-1T-2]a[ML-3]b[ML2T-2]c
Comparing the exponents of M:
0 = a+b+c ... (1)
Comparing exponents of T:
1 = -2a-2c
a+c = -1/2 .... (2)
Comparing exponents of L:
0 = -a-3b+2c ... (3)
Using (2) in (1) gives,
b = 1/2,
Hence (3) becomes,
a - 2c = -3/2 .........(4)
Solving (2) and (4), we find,
c = 1/3 and a = -5/6.
T = Cρ1/2E1/3/P5/6
where C is a constant.
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