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The frequency \(\nu\) of an oscillating liquid drop may depend upon radius ( r ) of the drop, density (\(\rho\)) of liqu…

Q1

The frequency \(\nu\) of an oscillating liquid drop may depend upon radius (r) of the drop, density (\(\rho\)) of liquid and the surface tension (s) of the liquid as: \(\nu\)\(={r}^{a}{\rho }^{b}{s}^{c}\). The values of a, b and c respectively are; [Dimensions of surface tension are MT–2]

[JEE Main 2023, 24 Jan (Shift 2)]

a

\(\left(-\frac{3}{2},-\frac{1}{2},\frac{1}{2}\right)\)

b

\(\left(\frac{3}{2},-\frac{1}{2},\frac{1}{2}\right)\)

c

\(\left(\frac{3}{2},\frac{1}{2},-\frac{1}{2}\right)\)

d

\(\left(-\frac{3}{2},\frac{1}{2},\frac{1}{2}\right)\)

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