In the Bohr model of the hydrogen atom, what is the de-Broglie wavelength for the electron when it is in (a) the n=1 level? (b) Then n=4 level? In each case, compare the de-Broglie wavelength to the circumference `2pir_n` of the orbit.

In the Bohr model of the hydrogen atom, what is the de-Broglie wavelen

1.	In the Bohr model of the hydrogen atom, what is the de-Broglie wavelength for the electron when it is in (a) the n=1 level? (b) Then n=4 level? In each case, compare the de-Broglie wavelength to the circumference `2pir_n` of the orbit.
Answer» Correct Answer - A::B::C (a) `E_1 = -13.6 eV `:. KE = \|E_1\| = 13.6 eV` `lambda_1 (in Å`) = sqrt((150)/(KE(in eV)) for an electron` `=sqrt(150)/(13.6) =3.32 Å` `2pir_1 = 2pi(0.529 Å) ~~ 3.32 Å` (b) `E_4 =(E_1)/((4))^2 = (-13.6)/((4))^2 = - 0.85 eV` `lambda_4 = sqrt((150)/(0.85)) as KE = \|E_4\| = 0.85 eV` `~~13.3 Å `2pir_4 = 2pi(n)^2 r_1 (as r prop n^2)` `=53.15 Å = 4lambda_4.`

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In the Bohr model of the hydrogen atom, what is the de-Broglie wavelength for the electron when it is in (a) the n=1 level? (b) Then n=4 level? In each case, compare the de-Broglie wavelength to the circumference `2pir_n` of the orbit.

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