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Q.

Two identical spherical drops of water are falling (vertically downwards) through air with a steady velocity of 5 cm/sec. If both the drops coalsece (combine) to form a new spherical drop, the terminal velocity of the new drop will be (neglect buoyant force on the drops).

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a

5 × 2 cm/sec

b

5×2 cm/sec

c

5× (4)13 cm/sec

d

52 cm/sec

answer is C.

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Detailed Solution

When two drops of radius r each combine to form a big drop, the radius of big drop will be given by43πR3 = 4π3r2+4π3r3or R2 = 2r3 or R = 213r Now VRVr = (Rr)2 = 223 = 413VR = 5×413cm/s

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Two identical spherical drops of water are falling (vertically downwards) through air with a steady velocity of 5 cm/sec. If both the drops coalsece (combine) to form a new spherical drop, the terminal velocity of the new drop will be (neglect buoyant force on the drops).