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A spherical ball of density rho and radi...

A spherical ball of density `rho` and radius 0.003m is dropped into a tube containing a viscous fluid , filled up to the 0 cm mark as shown in the figure . Viscosity of the fluid `=1.260 N m ^-2s^-1` and its density `rho_L = rho//2 = 1260 kg m^-3` . Assume the ball reaches a terminal speed by the 10 cm mark. Find the time taken by the ball to traverse the distance between the 10 cm and 20 cm mark . [g = acceleration due to gravity `= 10 ms^-2]`

A

2s

B

3s

C

5s

D

1.5 s

Text Solution

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The correct Answer is:
C
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A spherical ball of density rho and radius 0.003m is dropped into a tube containing a viscous fluid up to the 0 cm mark as shown in the figure. Viscosity of the fluid =1.26N-s//m^(2) and its density rho_(L)=(rho)/(2)=1260kg//m^(3) . Assume that the ball reaches a terminal speed at 10cm mark. The time taken by the ball to travel the distance between the 10cm and 20cm mark is (g=10m//s^(2))

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