You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

r α \frac{1}{\sqrt{m}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

r α m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

r α \sqrt{m}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

Suggest Corrections

Similar questions

Q. Two particles of equal charges after being accelerated through the same potential difference enter in a uniform transverse magnetic field and describe circular paths of radii

R_{1}

and

R_{2}

. Then the ratio of their respective masses

(M_{1} / M_{2})

Q. A particle of mass

M

and charge

Q

moving with a velocity

\to v

described a circular path of radius

R

when subjected to a uniform transverse magnetic field of induction

B

. The work done by the field when the particle completes one full circle is

Q. A particle of mass

M

and charge

Q

moving with velocity

\to v

describe a circular path of radius

R

when subjected to a uniform transverse magnetic field of induction

B

. The work done by the field when the particle completes one full circle is:

Q. An

α

-particle (mass

4

amu) and a singly charged sulfur ion (mass

32

amu) are initially at rest. They are accelerated through a potential

V

and then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the particles. Within this region, the

α

-particle and the sulfur ion move in circular orbits of radii

r_{α}

and

r_{s}

, respectively. The ratio of

\frac{r_{s}}{r_{α}}

Q. A particle of charge

q

and mass

m

moves in a circular path of radius

r

in a uniform magnetic field

B

.
The particle is replaced with a particle of identical charge and mass

\frac{1}{2} m

.
The radius of the new circular path the particle makes is:

Join BYJU'S Learning Program

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,
$r = \frac{m v}{q B}$
$∴ r \propto m$