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Q.

An insect with eight legs stands on water.  The end of each leg has a spherical shape of  radius 1 mm.  Surface of water makes an angle 60° with the vertical at its contact with the leg and surface tension of water at the given temperature is 72 dyne/cm, then  (take g = 10 m/s2 )

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a

Magnitude of net force due to surface tension acting on any leg of the insect will be nearly  1.13×104N

b

Magnitude of net force due to surface tension acting on any leg of the insect will be nearly 4.5×104N   

c

Mass of the insect, assuming that each leg bears an equal weight is nearly 90.4 mg                           (take g = 10  m/s2)

d

Mass of the insect, assuming that each leg bears an equal weight is nearly 268 mg

answer is B, C.

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Detailed Solution

F = 2prTcosqMg = 8 x 2prTcosq

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