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Standard XII

Physics

Idea of Symmetry

Ions of same ...

Question

Ions of same charge and velocity but of different masses pass through a uniform transverse magnetic field, the radii of the paths depend on the masses. (This is the principle of a mas spectrograph). Among the following the correct relation between the radius and mass is :

r α \frac{1}{m}

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r α \frac{1}{\sqrt{m}}

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r α m

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r α \sqrt{m}

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Solution

The correct option is C $r α m$
Radius of the charged particle in magnetic field is,
$r = \frac{m v}{q B}$
$∴ r \propto m$

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Ions of same charge and velocity but of different masses pass through a uniform transverse magnetic field, the radii of the paths depend on the masses. (This is the principle of a mas spectrograph). Among the following the correct relation between the radius and mass is :

The correct option is C r α mRadius of the charged particle in magnetic field is,r=mvqB∴r∝m

The correct option is C $r α m$
Radius of the charged particle in magnetic field is,
$r = \frac{m v}{q B}$
$∴ r \propto m$