A thin uniform copper rod length `l` and mass m rotates unifomly with an angular velocity `omega` about a vertical axis passing through one of its ends as shown in the figure. Young's modulus of copper is Y. Breaking stress is `sigma_(max)`, cross sectional area of rod is A and density of rod is uniform. Based on above information, answer the following questions

The maximum angular velocity with which the rod can rotate so that is won't break, is

Options

A. `sqrt((2sigma_(max)A)/(ml))`
B. `sqrt((2sigma_(max)A)/(3ml))`
C. `sqrt((sigma_(max)A)/(2ml))`
D. `sqrt((3sigma_(max)A)/(ml))`

Answer

A