Question

A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If $r_d$ and $r_p$ are the radii of their circular paths respectively, then the ratio $\frac{r_d}{r_p}$ will be $\sqrt x:1$ where $x$ is__________

Answer 1

$x$ is $\underline{2}$

$R=\frac{\sqrt{2mK}}{qB}$

Therefore, $\frac{r_d}{r_p}=\frac{\frac{\sqrt{md}}{qd}}{\frac{\sqrt{mp}}{qp}} =\sqrt2$

$Hence,$ $x = 2$