Modern Physics 1 Question 55

51. A doubly ionised lithium atom is hydrogen-like with atomic number 3.

(1985,6M)

(a) Find the wavelength of the radiation required to excite the electron in Li2+ from the first to the third Bohr orbit. (Ionisation energy of the hydrogen atom equals 13.6eV.)

(b) How many spectral lines are observed in the emission spectrum of the above excited system?

Show Answer

Answer:

Correct Answer: 51. (a) 300\AA (b) 0.2645\AA

Solution:

  1. Given Z=3,EnZ2n2

(a) To excite the atom from n=1 to n=3, energy of photon required is

E13=E3E1=(13.6)(3)2(3)2(13.6)(3)2(1)2=108.8eV

Corresponding wavelength will be,

λ( in \AA)=12375E( in eV )=12375108.8=113.74\AA

(b) From nth  orbit total number of emission lines can be n(n1)2.

Number of emission lines =3(31)2=3



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक