question_answer

If the terminal speed of a sphere of gold (density\[=19.5\text{ }kg/{{m}^{3}}\]) is 0.2 m/s in a viscous liquid (density\[=1.5\text{ }kg/{{m}^{3}}\]), find the terminal speed of a sphere of silver (density =10.5\[kg/{{m}^{3}}\]) of the same size in the same liquid.                                                                                             [AIEEE 2006]

A)  0.4 m/s         

B)       0.133 m/s

C)  0.1 m/s

D)       0.2 m/s

Correct Answer: C

Solution :

[c] Terminal speed of spherical body in a viscous liquid is given by

where,density of substance of body

density of liquid.

Thus, from given data