The radius of the first permitted Bohr orbit for the electron, in a hydrogen atom equals 0.51 Å and its ground state energy equals -13.6 eV. If the electron in the hydrogen atom is replaced by muon [charge same as electron and mass 207 me], the first Bohr radius and ground state energy will be :
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Question

The radius of the first permitted Bohr orbit for the electron, in a hydrogen atom equals 0.51 Å and its ground state energy equals -13.6 eV. If the electron in the hydrogen atom is replaced by muon [charge same as electron and mass 207 me], the first Bohr radius and ground state energy will be :

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G1 Physics · Accepted Answer

Step 1: For a hydrogen-like Bohr atom, rₙ = a₀n²/Z (with reduced-mass correction if requested). Step 2: Use the specified n and Z, then compare the required radius or ratio. Final: C: 2.56 × 10⁻¹³ m, −2.8 keV.

The radius of the first permitted Bohr orbit for the electron, in a hydrogen atom equals 0.51 Å and its ground state energy equals −13.6 eV. If the electron in the hydrogen atom is replaced by muon [charge same as electron and mass 207 me], the first Bohr radius and ground state energy will be :