Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Solve! Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r=λ1/λ2, is given by :

 Some energy levels of a molecule are shown in the figure.  The ratio of the wavelengths r=λ1/λ2, is given by :

  • Option 1)

    r= \frac{4}{3}

  • Option 2)

    r= \frac{2}{3}

  • Option 3)

    r= \frac{3}{4}

  • Option 4)

    r= \frac{1}{3}

 

Answers (1)

best_answer

As we learnt in

Energy emitted due to transition of electron -

\Delta E= Rhcz^{2}\left ( \frac{1}{n_{f}\, ^{2}}-\frac{1}{n_{i}\, ^{2}} \right )

\frac{1}{\lambda }= Rz^{2}\left ( \frac{-1}{n_{i}\, ^{2}}+\frac{1}{n_{f}\, ^{2}} \right )

- wherein

R= R hydberg\: constant

n_{i}= initial state \\n_{f}= final \: state

 

 From the figure.

\lambda_{1}=\frac{hc}{\Delta E_{1}}=\frac{hc}{-E-(-2t)}=\frac{hc}{E}

\lambda_{2}=\frac{hc}{-E-\left(-\frac{4E}{3} \right )}-\frac{hc}{(\frac{E}{3})}.3\frac{hc}{E}

\frac{\lambda_1}{\lambda_2}=\frac{1}{3}

Correct option is 4


Option 1)

r= \frac{4}{3}

This is an incorrect option.

Option 2)

r= \frac{2}{3}

This is an incorrect option.

Option 3)

r= \frac{3}{4}

This is an incorrect option.

Option 4)

r= \frac{1}{3}

This is the correct option.

Posted by

perimeter

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

BTech Admission 2025 Live: JEE Mains, SRMJEEE, MET registrations underway; MHT CET syllabus updates
anam-khan

Centre issues coaching guidelines, prohibits centres from using false claims like '100% selection'
anam-khan

BTech Admissions 2025 Live: JEE Mains, SRMJEE, VITEEE dates out; AEEE, MET registrations underway

Latest Question