The frequency of vibration \(\int\) of a mass \mathfrak{m} suspended from a spring of spring constant \hat{K} is given by a relation of this type f = C m^x K^y ; where c is a dimensionless quantity. The value of \(\times\) and y are
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By putting the dimensions of each quantity both the sides we get \(\left[ \dot{V} \right] = \left[ M \right]^{1} \left[ M T^{-2} \right]^{-1}\)
Now comparing the dimensions of quantities in both sides we get \(x + y > 0 \text{ and } 2y > 1\) \(\mathrm{H - O - H}\) \(x' = - \frac{1}{2} \cdot y - \frac{1}{2}\)
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