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  4. The terminal velocity ( v t ) of the spherical rain drop depends on the radius (r) of the spherical rain drop as:-

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Q. The terminal velocity $\left( v _{ t }\right)$ of the spherical rain drop depends on the radius $(r)$ of the spherical rain drop as:-

JEE MainJEE Main 2022Mechanical Properties of Fluids

Solution:

$v _{ t }=\frac{2}{9} \frac{ gr ^{2}\left(\rho_{ p }-\rho_{ l }\right)}{\eta} ; \quad v _{ t } \propto r ^{2}$