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Question: The energy level of a certain atom for 1<sup>st</sup>; 2<sup>nd</sup> and 3<sup>rd</sup> level are E...

The energy level of a certain atom for 1st; 2nd and 3rd level are E, 4E3\frac{4E}{3} and 2E respectively. A photon of wavelength l is emitted for a transition 3 ® 1. What will be the wavelength of emission for transition 2 ®1?

A

λ3\frac{\lambda}{3}

B

4λ3\frac{4\lambda}{3}

C

3λ4\frac{3\lambda}{4}

D

3l

Answer

3l

Explanation

Solution

……. 2E

…… 4E3\frac{4E}{3}

……..E

2E – E = hcλ\frac{hc}{\lambda} …(1)

4E3\frac{4E}{3} – E = hcλ\frac{hc}{\lambda'}…(2)

l' = 3l