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  • Ionized hydrogen atoms and a-particles with same momenta enters perpendicular to a constant magnetic field, B. The ratio of their radii of paths <img alt="r_H:r_a" src="https://entrancecorner.

Ionized hydrogen atoms and a-particles with same momenta enters perpendicular to a constant magnetic field, B. The ratio of their radii of paths r_H:r_a will be:

Option: 1

2:1


Option: 2

1:2


Option: 3

4:1


Option: 4

1:4


Answers (1)

best_answer

Radius\ of\ the\ path\ r=\frac{m v}{q B}=\frac{p}{q B}

\text { For } H^{+} i o n, r_H=\frac{P H}{e B}

For a particle

\begin{aligned} & r_a=\frac{P_a}{2 C B} \\ & \frac{r_H}{r_a}=\frac{\frac{P}{C B}}{\frac{P}{2 C B}} & {\left[\text { as given } P_H=P_a=P\right]} \\ & \Rightarrow \frac{r_H}{r_a}=\frac{2}{1} \\ & \end{aligned}

Posted by

Divya Prakash Singh

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