Modern Physics 4 Question 6

6. An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let λn,λg be the de-Broglie wavelength of the electron in the nth state and the ground state, respectively. Let Λn be the wavelength of the emitted photon in the transition from the nth state to the ground state. For large n,(A,B are constants)

(2018 main)

(a) Λn2λ

(b) ΛnA+Bλn2

(c) ΛnA+Bλn2

(d) Λn2A+Bλn2

Show Answer

Solution:

  1. 2πr=nλn

λn=2πrn=2πr0n2n=2πr0n1Λn=R1121n2

Λn=1R1+1n21Λn=1R1+1n2(n1)

From Eqs. (i) and (ii),

Λn=1R1+4π2r02λn2=A+Bλn2



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक