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Q.

Magnetic field at the centre of hydrogen like atom due to motion of electron in the nth orbit is proportional to

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a

Z2n2

b

Z3n2

c

Z3n5

d

Z2n4

answer is C.

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Detailed Solution

B=μoi2r=μoeT2r=μoev2πrrSo,  B∝vr2r∝n2ZB∝ZZ2nn4v∝ZnB∝Z3n5
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Magnetic field at the centre of hydrogen like atom due to motion of electron in the nth orbit is proportional to