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Two metal spheres are falling through a liquid of density  with the same uniform speed. The material density of sphere 1 and sphere 2 are  and  respectively. The ratio of their radii is

a)

b)

c)

d)


Question ID - 57284 | Toppr Answer

Two metal spheres are falling through a liquid of density  with the same uniform speed. The material density of sphere 1 and sphere 2 are  and  respectively. The ratio of their radii is

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (d) -

(d)

The terminal velocity of the spherical body of radius , density  falling through a liquid of density  is given by

Where  is the coefficient of viscosity of the liquid

 and

According to the given problem,

 or

Substituting the given values, we get



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