Question

please explain properly.​

Answer 1

Answer:

Given:

3 levels are as follows:

• E
• 4E/3
• 2E

Transition from 3 --> 1 = λ

To find:

Wavelength produced in transition from

2 --> 1

Concept:

The energy difference between the electronic levels and it's transition is responsible for formation of electromagnetic waves.

Calculation:

In 3 --> 1 transition:

2E - E = hc/λ

=> E = hc/λ ..........(1)

In 2 ---> 1 transition:

4E/3 - E = hc/λ"

=> E/3 = hc/λ" ..........(2)

Taking ratio of (1) and (2)

E/(E/3) = {hc/λ}/{hc/λ"}

=> 3 = λ"/λ

=> λ" = 3λ

So option 2) is correct.

Answer 2

GIVEN:-

THREE LEVELS ARE,

• E
• 4E/3
• 2E

TRANSITION 3---»1= $\lambda$

FIND:-

2------»1

ANSWER:-

CASE,.1)

3----» 1 TRANSITION

1) 2E-E=HC/$\lambda$

2)$\rightarrow$ E=HC/$\lambda$

case. 2)

2------»1 TRANSITION.

3)4E-E=HC/$\lambda'$

from 2 & 3.

$\cancel{E}$/($\cancel{E}$-3) =($\cancel{HC}$/$\lambda$)/($\cancel {HC}$/$\lambda'$)

3=$\lambda'$/$\lambda$

.°.$\lambda'$=3$\lambda$

THANKS.