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JEE Main 2022 (30 Jul, Shift 2) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from JEE Main 2022 (30 Jul, Shift 2)

Q78JEE Main 2022 · 30 JUL · SHIFT 2Easy

Bohr Model: Orbits, Speed & Angular Momentum

Using Boh'r model of quantization of angular momentum the relation between the radius 'r' of the $n$ th allowed orbit of quantum number 'n' for an electron in hydrogen atom is:

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Answer: (b)

Quantization $mvr = \frac{nh}{2\pi}$ with $\frac{mv^2}{r} = \frac{ke^2}{r^2}$ gives $r = \frac{n^2h^2\varepsilon_0}{\pi m e^2}$ .
So the answer is (b) $r \propto n^2$ .

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