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CGP EDU Academic Team
Published on: September 12, 2026
If the time period \{ T \} of vibration of a liquid drop depends on surface tension (5) , radius (r) of the drop and density \{p\} of the liquid, then the expression of \Gamma is
Text Solution
Verified by ExpertsThe correct answer is:
A
Let \(\mathcal{T} \to S^{4} r^{9} / l^{2}\)
by substituting the dimension of [\Gamma] = [\Gamma]
[S] = [M T^{-2}], [r] = [L], [\rho] = [M L^{-3}]
and by comparing the power of both the sides
\(x - \frac{1}{2} y \quad \frac{3}{2} z \quad \frac{1}{2}\)
so \(T \propto \sqrt{\frac{x^3}{15}} \Rightarrow T = k \sqrt{\frac{x^3}{15}}\)
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