A charged particle is moving in a circular or | vedclass

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Question

Here, $\mathrm{v}=3 	imes 10^{6}\, \mathrm{ms}^{-1}$

$B=2 	imes 10^{-4} \,\mathrm{Wb} \mathrm{m}^{-2}=2 	imes 10^{-4} \,\mathrm{T}$

$\mathrm{R}=6

Vedclass · Accepted Answer

$2.5 	imes {10^{11}}\,C/kg$

Vedclass · Answer

Here, $\mathrm{v}=3 	imes 10^{6}\, \mathrm{ms}^{-1}$

$B=2 	imes 10^{-4} \,\mathrm{Wb} \mathrm{m}^{-2}=2 	imes 10^{-4} \,\mathrm{T}$

$\mathrm{R}=6\, \mathrm{cm}=6 	imes 10^{-2} \,\mathrm{m}$

$\mathrm{As}, \mathrm{Bqv}=\frac{\mathrm{mv}^{2}}{\mathrm{R}}$ or $\frac{\mathrm{q}}{\mathrm{m}}=\frac{\mathrm{v}}{\mathrm{BR}}$

Substituting the given values, we get;

$\frac{\mathrm{q}}{\mathrm{m}}=\frac{3 	imes 10^{6}}{2 	imes 10^{-4} 	imes 6 	imes 10^{-2}}=2.5 	imes 10^{11}\, \mathrm{C} / \mathrm{kg}$

A charged particle is moving in a circular orbit of radius $6\, cm$ with a uniform speed of $3 \times 10^6\, m/s$ under the action of a uniform magnetic field $2 \times 10^{-4}\, Wb/m^2$ which is at right angles to the plane of the orbit. The charge to mass ratio of the particle is