AP EAMCET · Chemistry · Structure of Atom

If the energies of two light radiations $E_{1}$ and $E_{2}$ are $25 eV$ and $100 eV$ respectively, then their respective wavelengths $λ_{1}$ and $λ_{2}$ would be in the ratio $λ_{1} : λ_{2} =$

A $2 : 1$
B $4 : 1$
C $1 : 4$
D $1 : 2$

Verified Solution

Answer & Solution

Correct Answer

(B) $4 : 1$

Step-by-step Solution

Detailed explanation

According to Plank's quantum theory, energy of the incident wave can be expressed as: E = hcλ Energies of different radiation are given i.e. E1=25eV, E2=100 eV Now,…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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If the energies of two light radiations E1 and E2 are 25eV and 100eV respectively, then their respective wavelengths λ1 and λ2 would be in the ratio λ1:λ2=

Step-by-step Solution

If the energies of two light radiations $E_{1}$ and $E_{2}$ are $25 eV$ and $100 eV$ respectively, then their respective wavelengths $λ_{1}$ and $λ_{2}$ would be in the ratio $λ_{1} : λ_{2} =$