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  • A proton with kinetic energy   describes a circle of radius <img alt="\mathrm{r}" src="https://en

A proton with kinetic energy \mathrm{K}  describes a circle of radius \mathrm{r} in a uniform magnetic. An \mathrm{\alpha}  particle with kinetic energy \mathrm{K}  moving in the same magnetic field will describe a circle of radius

Option: 1

\mathrm{\frac{r}{2}}


Option: 2

\mathrm{r}


Option: 3

\mathrm{2 r}


Option: 4

\mathrm{4 r}


Answers (1)

best_answer

The radius of the circular orbit is given by

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

The charge of an \mathrm{\alpha} -particle is twice that of a proton and its mass is four times the mass of a proton. Therefore \mathrm{\sqrt{m} / q} is the same for both. Hence r will the same for both particles. Thus the correct choice is (b).

Posted by

Pankaj Sanodiya

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