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 \[\Rightarrow \] \[qvB=\frac{m{{v}^{2}}}{I}\] ? (i) Now, kinetic energy of the particle \[k=\frac{1}{2}m{{v}^{2}}\] \[\Rightarrow \] \[mv=\sqrt{2mk}\] Therefore, Eq. (i) becomes \[I=\frac{\sqrt{2mk}}{qB}\Rightarrow \frac{{{r}_{e}}}{{{r}_{p}}}=\sqrt{\frac{{{m}_{e}}}{{{m}_{p}}}}\] 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.
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