Frequency is the function of density \{p\} , length \(\left…

Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ

Published on: September 12, 2026

Frequency is the function of density \{p\} , length \(\left[ \dot{\alpha} \right]\) and surface tension \{ T \} . Then its value is

\(k_f^{1/2} \sigma^{3/2} \lambda \sqrt{T}\)

\(k_f, \frac{3}{2} \sigma^{\frac{1}{2}}, \sqrt{T}\)

k_f^{1:2}O^{v:2}/T^{v:2}

k_f^{1/2} a^{1/2} T^{1/2}

Text Solution

Verified by Experts

The correct answer is:

Let \(n = k_p p^{\alpha} d^{\beta} T^{\gamma}\) where [v] = [ML^{-3}], [a] = [L] and \(\left[ v \right] = \left[ M T^{-1} \right]\)

Comparing both sides, we get

\(a = -\frac{1}{2}, b = -\frac{3}{2}\) and \(c - \frac{-1}{2}\) \ \ \(v = \frac{k_1^{1/2} a^{3/2}}{T^{1/2}}\)

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