Question

Deduce strokes law by the method dimensions ​

Answer 1

Answer:

DIMENSIONAL ANALYSIS ON STOKE'S LAW - LAW

The validity of Stokes law can be checked using dimensional analysis.

Suppose a spherical body falling through a stationary fluid.

As one can predict the drag force on the body depends on the viscosity of the fluid , radius of the object r and velocity of the object V

Hence it can be written that

F=f(μ,r,v)

F = kμ^x r^y v^z

Writing down the dimensions of all the physical quantities,

We have MLT^-2 =L^x { ML^-1 T^-1} { LT^-1} ^z

Solving this gives x = 1, y = 1 and z = 1.

K can be found experimentally as 6

Hence F=6πμrV

Hope it helps :)