A particle of charge `-q` and mass m moves in a circle of radius r around an infinitely long line charge of linear charge density `+lamda`. Then, time period will be
where , `k=1/4piepsilon_0)`

Options

A. `T=2pirsqrt((m/(2klamdaq)`
B. `T^2=(4pi^2m)/(2klamdaq)r^3`
C. `T=1/(2pir) sqrt((2klamdaw)/m)`
D. `T=1/(2pir) sqrt(m/(2klamdaq))`

Answer

A

Explanation

`qE=(mv^2)/r`
`q(lambda/(2piepsilon_0 r))=(mv^2)/r`
`:. V=sqrt((glambda)/(2piepsilon_0m))=sqrt((2kglambda)/m)`
Now, `T=(2pir)/v`