A proton of mass `1.67 xx 10^(-27)` kg and charge `1.6 xx 10^(-19)` is projected with a speed of `2 xx 10^(6) ms^(-1)` at an angle of `60^(@)` to the X-axis . If a uniform magnetic field of 0.014 t is applied along the y-axis, the path of the proton is :

Options

A. a circle of radius 0.1 m and time period `2 pi xx 10^(-7)`s .
B. a circle of radius 0.2 m and time period `pi xx 10^(-7)` s .
C. a helix of radius 0.1 m and time period `2 pi xx 10^(-7)` s.
D. a helix of radius 0.2 m and time period `4 pi xx 10^(-7)` s .

Answer

C

Explanation

`:. T = (2 pi m)/(qB)`