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Q.

A spherical ball of density ρ and radius 0.003 m is dropped into a tube containing a viscous fluid up to the 0 cm mark as shown in the figure. Viscosity of the fluid =1.26 N·s/m2 and its density ρL=ρ2=1260 kg/m3. Assume that the ball reaches a terminal speed at 10 cm mark. The time taken by the ball to travel the distance between the 10 cm and 20 cm mark is g=10 m/s2

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a

2 s

b

1 s

c

0.5 s

d

5 s

answer is D.

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Detailed Solution

 vT=29r2(ρ-σ)gηv1+v2 =2×(0.003)2(1260×2-1260)×109×1.26 =0.02 m/s t=dvT=10×10-20.02=5 s

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