Grade 11Modern Physics

If one were to apply Bohr Model to a particle of mass m and charge q moving in a plane under the influence of a magnetic field B , the energy of the charged particle in the nth level will be _____?

Harini

9 Years agoGrade 11

1 Answer

Rituraj Tiwari

5 Years ago

For a particle moving in magnetic field-
Centripetal force = Magnetic force
mv^2/r = qvB
mv2 = qvBr ...(1)

Also for Bohr's model,
mvr = nh/2π
vr = nh/2πm ...(2)

Putting (2) in eqn.(1),
mv^2 = qB(nh/2πm)

Energy of particle moving in nth orbit is-
E = mv^2/2
E = qB(nh/2πm)/2
E = nhqB/4πm

Energy of particle moving in nth orbit is is nhqB/4πm .

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If one were to apply Bohr Model to a particle of mass m and charge q moving in a plane under the influence of a magnetic field B , the energy of the charged particle in the nth level will be _____?

Harini

1 Answer

Rituraj Tiwari

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