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If electrons in H-likes species jump, fr...

If electrons in H-likes species jump, from `n_(3)` to `n_(1)` emitting photon of wavelength `lambda`, from `n_(3)` to intermediate orbit `n_(2)[n_(3)gtn_(2)gtn_(1)]` emits photon with wavelength `lambda_(1)` & from `n_(2)` to `n_(1)` emits photon with wavelength `lambda_(2)` then correct option is :

A

`lambda=lambda_(1)+lambda_(2)`

B

`(1)/(lambda)=(1)/(lambda_(1))+(1)/lambda_(2)`

C

`lambda=(lambda_(1)-lambda_(2))/(lambda_(1)lambda_(2))`

D

None of these

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the transitions of electrons in hydrogen-like species and apply the Rydberg formula for each transition. ### Step-by-Step Solution: 1. **Identify the transitions and wavelengths**: - The electron transitions from \( n_3 \) to \( n_1 \) emitting a photon of wavelength \( \lambda \). - The electron transitions from \( n_3 \) to \( n_2 \) emitting a photon of wavelength \( \lambda_1 \). - The electron transitions from \( n_2 \) to \( n_1 \) emitting a photon of wavelength \( \lambda_2 \). ...
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