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NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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Application +4 | -1
27 spherical rain drops of the same mass and radius are falling down with a terminal sped 4   cms−1.4\,\,\,cm{s^{ - 1}}. If they coalesce to form one big drop, what will be the terminal speed of bigger drop?

[Neglect the buoyancy of the air] [in   cms−1]\left[ {{\text{in}}\,\,\,cm{s^{ - 1}}} \right]
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Correct option: A
36
Option A (36) is correct because the terminal velocity is proportional to the square of the radius, and when 27 drops coalesce, the radius increases by a factor of 3, leading to a terminal velocity 9 times greater.

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