Consider the mass-spectrometer as shown in figure. The electric field between plates is $\vec E\ V/m$ , and the magnetic field in both the velocity selector and in the deflection chamber has magnitude $B$ . Find the radius $'r'$ for a singly charged ion of mass $'m'$ in the deflection chamber
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$\mathrm{q} \mathrm{E}=\mathrm{q} \mathrm{v} \mathrm{B}$
$\mathrm{qvB}=\frac{\mathrm{mv}^{2}}{\mathrm{r}}$
$r=\frac{m v}{q B}=\frac{m E}{q B^{2}}$
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