Physics, asked by aartisingh56524, 11 months ago

a beam of Alpha particle and of the protons of the same velocity enter a uniform magnetic field at right angles to the field and the particles describe a circular path. what is the ratio of the radii of these two circles

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Answered by itzNobita25

$\huge \mathfrak \red{\underline{ \underline {Question}}}$ $\huge \mathfrak \red{ \underline {answer}}$

a beam of Alpha particle and of the protons of the same velocity enter a uniform magnetic field at right angles to the field and the particles describe a circular path. what is the ratio of the radii of these two circles.

$\huge \mathfrak \purple{\underline{ \underline {answer}}}$

Alpha particle will be helium nucleus of charge 2e and mass 4u

Proton will be hydrogen of charge 1e and mass 1u

Radius of circle of charged particle in magnetic field will be r=mv/qb

By lorentz force,

Radius=momemtum /charge *magnetic field

WE know that radius is inversly proportional to charge

SO Radius of alpha particle will be half of radius of proton

Hence Radii =1:2

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a beam of Alpha particle and of the protons of the same velocity enter a uniform magnetic field at right angles to the field and the particles describe a circular path. what is the ratio of the radii of these two circles​

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a beam of Alpha particle and of the protons of the same velocity enter a uniform magnetic field at right angles to the field and the particles describe a circular path. what is the ratio of the radii of these two circles