Which of the following relations can be derived using dimensional analysis?

y = A s i n (ω t - k x)

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N = N_{0} e^{- λ t}

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K = \frac{1}{2} m v^{2} + \frac{1}{2} I ω^{2}

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None of these

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Solution

The correct option is C None of these
The exact form of any equation cannot be determined solely by dimensional analysis as dimensional analysis cannot predict numerical constants and dimensionless terms such as sine, cosine, exponential etc

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Similar questions

N = N_{0} e^{- λ T}

(λ)

Int dx/√2ax-x,^2 = a^n sin^-1[x/a-1] .

The value of n is
(a) 0 (b) —1
(c) 1 (d) none of these.
You may use dimensional analysis to solve the problem.

\int \frac{d x}{\sqrt{2 a x - x^{2}}} = a^{n} \sin^{- 1} [\frac{x}{a} - 1]

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