JEE Main 2026 Apr 2 Shift 2, Physics Q22: Bohr Model of the Hydrogen Atom

JEE Main2026Apr 2, Shift 2Physics

Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the $2^{nd}$ and $4^{th}$ orbits of hydrogen atom__.

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Solution

$B = \frac{μ _{0} I}{2 π r}$

$I = \frac{e v}{2 π r}$

$B \propto \frac{V}{r ^{2}}$

$V \propto \frac{Z}{n}$

$r \propto \frac{n ^{2}}{Z}$

$B\propto \dfrac{\left(\dfrac{Z}{n}\right)} {\left(\dfrac{n^2}{Z}\right)^2}$

$B \propto \frac{Z ^{3}}{n ^{5}}$

$\dfrac{B_1}{B_2} = \dfrac{n_2^5}{n_1^5} = \dfrac{4^5}{2^5} = 64$

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JEE Main 2026 Apr 2 Shift 2, Physics Q22: Bohr Model of the Hydrogen Atom

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