JEE Mains · Chemistry · STD 11 - 2. structure of atom

The energy of first (lowest) Balmer line of H atom is x J. The energy (in J) of second Balmer line of H atom is:

A \(x^{2}\)
B \(\frac{x}{1.35}\)
C 2x
D 1.35x

Verified Solution

Answer & Solution

Correct Answer

(D) 1.35x

Step-by-step Solution

Detailed explanation

Transition of first Balmer line \(n_1=2 ; n_2=3\) \(\Delta E=x=13.6(1)^2\left[\frac{1}{2^2}-\frac{1}{3^2}\right] \quad\ldots(i)\) Transition of \(2^{\text {nd }}\) Balmer line \(n_1=2 ; n_2=4\) \(\Delta E=13.6(1)^2\left[\frac{1}{2^2}-\frac{1}{4^2}\right]\quad\ldots(ii)\) Divide…

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.

Same subject

Match List \(I\) with List \(II\)

List-\(I\) (Elements)	List-\(II\) (Properties in their respective groups)
\((A)\) \(\mathrm{Cl}, \mathrm{S}\)	\((I)\) Elements with highest electronegativity
\((B)\) \(\mathrm{Ge}, \mathrm{As}\)	\((II)\) Elements with largest atomic size
\((C)\) \(\mathrm{Fr}, \mathrm{Ra}\)	\((III)\) Elements which show properties of both metals and non metal
\((D)\) \(\mathrm{F}, \mathrm{O}\)	\((IV)\) Elements with highest negative electron gain enthalpy

Choose the correct answer from the options given below :

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