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JEE Main 2021 (18 Mar, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from JEE Main 2021 (18 Mar, Shift 1)

Q92JEE Main 2021 · 18 MAR · SHIFT 1Medium

Bohr Model: Orbits, Speed & Angular Momentum

Imagine that the electron in a hydrogen atom is replaced by a muon ( $\mu$ ). The mass of muon particle is 207 times that of an electron and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be:

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Answer: (b)

Ionisation energy $E = \frac{me^4}{8\epsilon_0^2 h^2} \propto m$ .
$E_\mu = 207 \times 13.6 = 2815.2\text{ eV}$ , so the ionisation potential is $2815.2\text{ V}$ ( $2815.2\text{ eV}$ ).
So the answer is (b) 2815.2 eV.

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