Consider mass-spectrometer as shown in figure. electric field between plates is vec E V/m , and

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4.Moving Charges and Magnetism

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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

A

$\frac{{mE}}{{eB}}$

B

$\frac{{m{E^2}}}{{eB}}$

C

$\frac{{mE}}{{e{B^2}}}$

D

$\frac{{mE}}{{B{e^2}}}$

Solution

$\mathrm{q} \mathrm{E}=\mathrm{q} \mathrm{v} \mathrm{B}$

$\mathrm{qvB}=\frac{\mathrm{mv}^{2}}{\mathrm{r}}$

$r=\frac{m v}{q B}=\frac{m E}{q B^{2}}$

Standard 12

Physics

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