Question

40). Assuming that the mass m of the largest stone that can
be moved by a flowing river depends on the velocity e,
he density of water p and acceleration due to gravity g.
Show that m varies as the sixth power of the velocity of
flow.

Answer 1

Hints: The mass of the largest stone m  vx ……….(i)
m  y ……….(ii)
m  gz ……….(iii)
Combining all equations, we get m  vx y gz
Take dimensional formula both side and obtain x = 6.

Answer 2

$\textbf{Answer is in Attachment !}$