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A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is :
 

Option: 1

1: 4


Option: 2

4: 1


Option: 3

2: 1


Option: 4

1: 2


Answers (1)

best_answer

\mathrm{\overline{V}\perp \overline{B}\quad\left ( given \right )}
\mathrm{r= \frac{mv}{qB}}
\mathrm{\frac{r_{\alpha }}{r_{p}}= \frac{M_{\alpha }}{M_{p} }\times\frac{q_{p}}{q_{\alpha }}}
      \mathrm{= \frac{4}{1}\times \frac{1}{2}= \frac{2}{1}}

The correct option is (3)

Posted by

Pankaj

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