NEET · Physics —

Atoms appeared 1 time across 1 year — 2.2% of Physics. This question is from Bohr Model Radius Calculation.

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In the first excited state of hydrogen atom, the energy of its electron is -3.4 eV. The radial distance of the electron from the hydrogen nucleus in this case is approximately: (Take 1eV = 1.6 × 10⁻¹⁹ J, e = 1.6 × 10⁻¹⁹ C and 14πε₀ = 9 × 10⁹ N m ² /C ² )

Solution & Explanation

Related Formula
|E| = (1)/(4πε₀) (e²)/(2r)
Core Logic
9 × 10⁹ × (1.6 × 10⁻¹⁹)²2 × 3.4 × 1.6 × 10⁻¹⁹ = r r = 9 × 1.6 × 10⁻¹⁰6.8 ≈ 2.1176 × 10⁻¹⁰ m ≈ 2.1 × 10⁻¹⁰ m
Pattern Recognition

Bohr orbit radius relation to total binding energy.

Chapter Mix

Class 12 Physics: Atoms

Reference Study Guides

Atoms

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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)