A cube, made of a material of density 6 gm/cm3 and having length of each side 20 cm is sliding down an inclined surface having inclination 30o with horizontal with a velocity of 5 m/s on a layer of grease of thickness 0.2 mm. Then coefficient of viscosity of grease is
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a
0.84 N−Sm2
b
0.08 N−Sm2
c
0.12 N−Sm2
d
0.24 N−Sm2
answer is D.
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Detailed Solution
Viscous drag, FD=A.ηVt=l2×ηVtSince net force on the cube is zero, we can write, l2×ηVt=mg sin30o⇒l2ηVt=l3ρ.g.12⇒η=ρlgt2V⇒η=−6000×0.2×10×0.2×10−32×5N−Sm2=0.24N−Sm2