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(B) The deflection of a charged particle in a magnetic field is given by the Lorentz force,$F = qvB \sin 	heta$,and the resulting acceleration is $a

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Stream of $\beta$-particles

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(B) The deflection of a charged particle in a magnetic field is given by the Lorentz force,$F = qvB \sin 	heta$,and the resulting acceleration is $a = F/m = (qvB \sin 	heta)/m$. Since the deflection is proportional to the charge-to-mass ratio $(q/m)$,the particle with the highest $q/m$ ratio will undergo the maximum deflection. $\alpha$-particles $(He^{2+})$ have a mass of approximately $4 \ amu$ and a charge of $+2$. $\beta$-particles $(e^-)$ have a mass of approximately $1/1837 \ amu$ and a charge of $-1$. $\gamma$-rays are electromagnetic radiation with no charge and no mass,so they show no deflection. Neutrons have no charge,so they show no deflection. Comparing the $q/m$ ratios,the $\beta$-particle has a significantly higher $q/m$ ratio than the $\alpha$-particle,leading to maximum deflection.

While passing through an applied magnetic field,which of the following undergoes the maximum deflection?

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