In a straight conductor of uniform cross-section charege q is flowing for time t. Let s be the specific charge of an electron. The momentum of all the free electrons per unit length of the free electrons per unit length of the conductor, due to their drift velocity only is

Options

A. `(q)/(ts)`
B. `((q)/(ts))^(2)`
C. `sqrt((q)/(ts))`
D. `qts`

Answer

A

Explanation

`I=nAev_(d)` or `v_(d)=(I)/(nAe)=((q)/(t))/(nAe)`
No. of free electrons per unit length of conductor `N=nAxx1`
`therefore` Momentum of all the free electrons is
`p=Nmv_(d)`