A lead sphere of mass m falls in a viscous liquid with a terminal velocity v0. Another lead sphere of mass S m through the same liquid will fall with the terminal velocity:

Options

A. `v_(0)`
B. `4v_(0)`
C. `8v_(0)`
D. `64v_(0)`

Answer

C

Explanation

Since mass is 8 times the first sphere
`therefore` Volume is also 8 times the first sphere or radius is 2 times the first sphere.
As terminal velocity `v oo r^(2)`.
`therefore` Velocity becomes 4 times`rArrv^(2)=4v_(0)`
Thus correct choice is (b)
Hence the correct choice is (c).