An electron, a proton and an alpha particle having

Question:

An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii $\mathrm{r}_{\mathrm{e}}, \mathrm{r}_{\mathrm{p}}, \mathrm{r}_{\alpha}$ respectively in a uniform magnetic field $\mathrm{B}$. The relation between $\mathrm{r}_{\mathrm{e}}, \mathrm{r}_{\mathrm{p}}, \mathrm{r}_{\alpha}$ is:-

 

  1. $\mathrm{r}_{\mathrm{e}}<\mathrm{r}_{\mathrm{p}}=\mathrm{r}_{\alpha}$

  2. $\mathrm{r}_{\mathrm{e}}<\mathrm{r}_{\mathrm{p}}<\mathrm{r}_{\alpha}$

  3. $\mathrm{r}_{\mathrm{e}}<\mathrm{r}_{\alpha}<\mathrm{r}_{\mathrm{p}}$

  4. $\mathrm{r}_{\mathrm{e}}>\mathrm{r}_{\mathrm{p}}=\mathrm{r}_{\alpha}$

Correct Option: 1

Solution:

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