(18) Combining Bohr\'s model and de Broglie\'s postulate, an excited state of th

Question

(18) Combining Bohr's model and de Broglie's postulate, an excited state of the hydrogen atom can be represented by the following figure. Which of the following statements are true? (1) The radius of this Bohr orbit according to Bohr's model is 2.12x10-10 m. (lI) When this atom makes a transition to a lower energy level, photon with a wavelength of 97.2 nm can be emitted. (II) The energy of the excited atom is -0.85 ev (IV) According to Bohr's model, the speed of electron in this orbit is 1.09x10 m/s (A) (l) and (IV) (B) (II) and (I) (C) (1) and (l) (D) (I) and (IV) (E) (II) and (IV)

Explanation / Answer

for this given state,

2 pi r = n lambda  

so here , n = 4

(i) r = (0.529 x 10^-10) n^2

n = 4 , r = 8.46 x 10^-10 m

false

(ii) En = -13.4 / 4^2 = -0.8375 eV  

E(n-1) = -13.4 / 3^2 =- 1.49 eV  

delta(E) = 0.65 eV

wavelength = h c / E = 1240 eV-nm / 0.65 = 1903 nm

(iii) En = - 0.8375 eV  

True

Ans(E)

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