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Magnetic induction at the centre of a Bohr?s hypothetical hydrogen atom in the nth orbit of the electron is (a) directly proportional to charge of electron e. (b) directly proportional to e^2 (c) inversely proportional to n^5. (d) directly proportional to n^5

Magnetic induction at the centre of a Bohr?s hypothetical hydrogen atom in the nth orbit of the electron is
 
(a) directly proportional to charge of electron e.
(b) directly proportional to e^2
(c) inversely proportional to n^5.
(d) directly proportional to n^5

Grade:12

1 Answers

Biswajit Das
askIITians Faculty 55 Points
9 years ago
The correct option is option (c).

Magnetic Induction produced at the centre of an orbit due to an electron revolving in the nth orbit of hydrogen atom is given by,
Bn=µsIn/2rn
= 8π4z3e7m2/n5h5(4πε0)3
Here In is the current in the nth orbit, rnthe radius of the nth orbit and μ0the magnetic permeablity of free space.
From the above observation, we conclude that, option (c) is correct.

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