COMEDK2024PhysicsAtomic Physics
Calculate the radius of the second Bohr's orbit of electron of hydrogen atom.
Options
- A3.68 Ã…
- B2.12 Ã…
- C4.77 Ã…
- D2.68 Ã…
Correct answer
B. 2.12 Ã…
Step-by-step solution
Radius of the n th Bohr's orbit of the hydrogen atom is given by aligned r_n & = 4 ₀ n^2 h^2 4 ^2 m e^2 r₂ & = 4 8.85 10⁻¹² (2)^2 (6.625 10⁻³⁴ )^2 4 ^2 9.1 10⁻³¹ (1.6 10⁻¹⁹ )^2 & = 8.85 10⁻¹² 4 (6.625 10⁻³⁴ )^2 9.1 10⁻³¹ (1.6 10⁻¹⁹ )^2 & =2.12 10⁻¹⁰ ~m & =2.12 aligned