Q.

A spherical drop of radius r and density n is falling in air with terminal velocity. The density of airis n0 and its coefficient of viscosity μ. The power developed of by gravity is

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a

πr5nμn−n0g2

b

πr52μnn−n0

c

278μr5nn−n0g2

d

8πr527μnn−n0g2

answer is D.

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Detailed Solution

43πr3n−n0g=6πμrVT VT=2r2n−n09μg Pg=43πr3.n.g. 2r2n−n0g9μ =8πr5n27μn−n0g2
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A spherical drop of radius r and density n is falling in air with terminal velocity. The density of airis n0 and its coefficient of viscosity μ. The power developed of by gravity is