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A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity . The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, v2, when falling through the same fluid, the ratio  equals :

a)

 

b)

9

c)

 

d)

27



Question ID - 51573 | SaraNextGen Top Answer

A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity . The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, v2, when falling through the same fluid, the ratio  equals :

a)

 

b)

9

c)

 

d)

27

1 Answer
127 votes
Answer Key / Explanation : (b) -

R3 = 27r3

⇒    R = 3r

  =  = 9

127 votes


127