નીચે આપેલી ઉર્જાઓ પૈકી .............. \(\mathrm{eV}\) એક હાઈડ્રોજનની સંભવિત ઉતેજિત અવસ્થાની ઊર્જા છે ?

A \(-3.4\)
B \(+6.8\)
C \(+13.6\)
D \(-6.8\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(-3.4\)

Step-by-step Solution

Detailed explanation

For \(1 ^{st}\) excited state, the value of \(n=2\) By putting the value of \(n,\) we get the value of energy. Thus, the energy of electron in first excited state of hydrogen atom \(=-\frac{13.6}{n^{2}}=-\frac{13.6}{4}=-3.4 \mathrm{eV}\).

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

\(975\, {~K}\) પર નીચે આપેલ રાસાયણિક પ્રક્રિયા માટે નીચેની માહિતી મેળવવામાં આવ્યો હતો. \(2 {NO}_{({g})}+2 {H}_{2({~g})} \rightarrow {N}_{2({~g})}+2 {H}_{2} {O}_{({g})}\)

	\([NO]\) \({mol} {L}^{-1}\)	\({H}_{2}\) \({mol} {L}^{-1}\)	વેગ \({mol}L^{-1}\) \(s^{-1}\)
\((A)\)	\(8 \times 10^{-5}\)	\(8 \times 10^{-5}\)	\(7 \times 10^{-9}\)
\((B)\)	\(24 \times 10^{-5}\)	\(8 \times 10^{-5}\)	\(2.1 \times 10^{-8}\)
\((C)\)	\(24 \times 10^{-5}\)	\(32 \times 10^{-5}\)	\(8.4 \times 10^{-8}\)

\({NO}\)ના સંદર્ભમાં પ્રક્રિયાનો ક્રમ \(....\) છે.

JEE Mains 2021 Medium

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