Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Energy levels A, B, C of a certain atom corresponding to increasing values of energy i.e.<img alt="\mathrm{E_{A}< E_{B}< E_{C}}" src="/latex-image/?%5Cmathrm%7BE_%7BA%7D%3C%20E_%7BB%7D%3C%20E

Energy levels A, B, C of a certain atom corresponding to increasing values of energy i.e.\mathrm{E_{A}< E_{B}< E_{C}}. If  \mathrm{\lambda _{1},\lambda _{2},\lambda _{3}}  are the wavelengths of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following statements is correct

Option: 1

\lambda_3=\lambda_1+\lambda_2


Option: 2

\lambda_3=\frac{\lambda_1 \lambda_2}{\lambda_1+\lambda_2}


Option: 3

\lambda_1+\lambda_2+\lambda_3=0


Option: 4

\lambda_3^2=\lambda_1^2+\lambda_2^2


Answers (1)

best_answer

Let the energy in A, B and C state be E_{A}. E_{B} and E_{C}, then from the figure


\mathrm{\left(E_C-E_B\right)+\left(E_B-E_A\right)=\left(E_C-E_A\right) \text { or } \frac{h c}{\lambda_1}+\frac{h c}{\lambda_2}=\frac{h c}{\lambda_3}}
\mathrm{\Rightarrow \lambda_3=\frac{\lambda_1 \lambda_2}{\lambda_1+\lambda_2}}

Posted by

admin

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 session 2 answer key out for BArch, BPlanning; response sheet on jeemain.nta.nic.in
anam-khan

JEE Mains 2025 Paper 2 Answer Key LIVE: BArch final answer key PDF expected soon at jeemain.nta.nic.in
anam-khan

JEE Main 2025 response sheet errors: Delhi HC allows student to apply for JEE Adv, seeks NTA explanation

Latest Question