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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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Six identical small liquid drops are mixed together to form a bigger drop. The terminal velocity of bigger drop if terminal velocity of small drop is 10 m/s, will be
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Correct option: B
10×(6)23 m/s10 \times {\left( 6 \right)^{\frac{2}{3}}}\,m/s
Option B (10×(6)23 m/s10 \times {\left( 6 \right)^{\frac{2}{3}}}\,m/s) is correct because the terminal velocity is proportional to the square of the radius, and the radius of the bigger drop is related to the radius of the smaller drops by a factor of 6136^{\frac{1}{3}}.

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