An electron and a proton enter a magnetic field perpendicularly. Both have same

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Question

An electron and a proton enter a magnetic field perpendicularly. Both have same kinetic energy. Which of the following is true?

Options:

A . Trajectory of electron is less curved

B . Trajectory of proton is less curved

C . Both trajectories are equally curved

D . Both move on straight line path

Answer: Option B
:
B
By using

r = \frac{\sqrt{2 m K}}{q B}

; For both particles

q \to

same,

B \to

same,

K \to

same
Hence

r \propto \sqrt{m} \Rightarrow \frac{r_{e}}{r_{p}} = \sqrt{\frac{m_{e}}{m_{p}}}

∵ m_{p} > m_{e}

so

r_{p} > r_{e}

Since radius of the path of proton is more, hence its trajectory is less curved.

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