JEE Mains · Chemistry · STD 11 - 2. structure of atom
For emission line of atomic hydrogen from \(n_1= 8\) to \(n_f = n\), the plot of wave number \(\left( {\bar v} \right)\) against \(\left( {\frac{1}{{{n^2}}}} \right)\) will be(The Rydberg constant, \(R_H\) is in wave number unit)
- A Linear with intercept \(- R_H\)
- B Non linear
- C Linear with slope \(R_H\)
- D Linear with slope \(-R_H\)
Answer & Solution
Correct Answer
(D) Linear with slope \(-R_H\)
Step-by-step Solution
Detailed explanation
For emission line \(n_f < n_i\) \(\therefore \,\bar v = R{Z^2}\left[ {\frac{1}{{n_i^2}} - \frac{1}{{n_f^2}}} \right] = R\left[ {\frac{1}{{{8^2}}} - \frac{1}{{{n^2}}}} \right]\) or, \(\bar v = {R_H}\left( {\frac{1}{{64}} - \frac{1}{{{n^2}}}} \right)\)…
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