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Q.

In a hydrogen atom, magnetic field produced by the electron at the centre of circular orbit is ‘B’ when the atom is in ground state. What will be the magnetic field produced by the electron at the centre of circular orbit when the atom is in second excital state?

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a

B64

b

B81

c

B243

d

B32

answer is C.

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Detailed Solution

in=eωn2π=eVn2πrn;     Bn=μoin2rn=μoe4π.Vnrn2Now,Vn∝1n  and  rn∝n2∴Bn∝1n5∴B3B=135⇒B3=B243
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In a hydrogen atom, magnetic field produced by the electron at the centre of circular orbit is ‘B’ when the atom is in ground state. What will be the magnetic field produced by the electron at the centre of circular orbit when the atom is in second excital state?