A) Trajectory of proton is less curved
B) Trajectory of electron is less curved
C) Both trajectories are equally curved
D) Both move on straight line path
Correct Answer: B
Solution :
When a charged particle enters a magnetic field perpendicularly, it moves on a circular path. The required centripetal force is provided by the magnetic force. i.e,. Magnetic force = Centripetal force \[\Rightarrow \] \[qvB=\frac{m{{v}^{2}}}{r}\] ... (i) Now, kinetic energy of the particle \[T=\frac{1}{2}m{{v}^{2}}\] \[\Rightarrow \] \[mv=\sqrt{2mk}\] Therefore, Eq. (i) becomes \[r=\frac{\sqrt{2mk}}{qB}=\frac{{{r}_{e}}}{{{r}_{p}}}=\sqrt{\frac{{{m}_{e}}}{{{m}_{p}}}}\] As, \[{{m}_{e}}<{{m}_{p}};\] so, \[{{r}_{e}}<{{r}_{p}}\] Hence, trajectory of electron is less curved.
You need to login to perform this action.
You will be redirected in
3 sec
