TS EAMCET · Chemistry · Structure of Atom

In hydrogen atom, the minimum energy required to excite an electron from $2^{nd}$ orbit to the $3^{rd}$ orbit is

A $2.2 eV$
B $2.7 eV$
C $1.9 eV$
D $7 eV$

Verified Solution

Answer & Solution

Correct Answer

(C) $1.9 eV$

Step-by-step Solution

Detailed explanation

According to Bohr's theory the amount of energy required to excite an electron from one orbit to another orbit is given by the difference in energy between those two orbits. ∆E = 13.6 Z2 1n12-1n22 eV Here for H-atom Z=1 n1=2 and n2=3…

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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In hydrogen atom, the minimum energy required to excite an electron from 2nd orbit to the 3rd orbit is

Step-by-step Solution

In hydrogen atom, the minimum energy required to excite an electron from $2^{nd}$ orbit to the $3^{rd}$ orbit is