JEE Main 2017 Physics question

PhysicsAtomsJEE Main 2017

According to Bohr's theory, the time averaged magnetic field at the centre (i.e., nucleus) of a hydrogen atom due to the motion of electrons in the orbit is proportional to: ( = principal quantum number)

Answer: (4)

Solution

Treat the orbiting electron as a circular current loop of radius . The equivalent current is the charge passing a point per revolution,

I = = ,

and the field at the centre of such a loop is

B = = .

Bohr's results give the scalings \propto$

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Question ID VK-115789