Applying Bohr's model calculate the wavelength of the radiation emitted when an electron in a hydrogen atom makes a transition from fourth energy level to first energy level. plank's constant=6.63*10 -34
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Energy of an electron in Hydrogen atom in Bohr's model :
E = - 13.6 /n² eV (electron volts)
Transition from n = 4 to n = 1
=> ΔE of transition = - 13.6 /4² + 13.6 /1²
= + 12.25 eV
Wavelength of radiation emitted = λ
=> h c/λ = ΔE
=> λ = h c / ΔΕ = 6.63 * 10⁻³⁴ * 3 * 10⁸ / (12.25 * 1.6 * 10⁻¹⁹) meters
= 101.48 nm
E = - 13.6 /n² eV (electron volts)
Transition from n = 4 to n = 1
=> ΔE of transition = - 13.6 /4² + 13.6 /1²
= + 12.25 eV
Wavelength of radiation emitted = λ
=> h c/λ = ΔE
=> λ = h c / ΔΕ = 6.63 * 10⁻³⁴ * 3 * 10⁸ / (12.25 * 1.6 * 10⁻¹⁹) meters
= 101.48 nm
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