Practice question
Question
The frequency f of a wave depends on velocity v and wavelength lambda as f = k v^a lambda^b . Find a and b .
Explanation
[f] = [T^{-1], [v] = [L T^{-1], [lambda] = [L] . [T^{-1] = [L T^{-1]^a [L]^b = [L^{a+b T^{-a] . Equate: a + b = 0, -a = -1 . a = 1, b = -1 . This follows from NCERT principle where relation explains outcome clearly for students.
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