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For emission line of atomic hydrogen from n_i = 8 to n_f = n, the plot of wave number (\u0305\u03bd) against (1/n^2) will be (The Rydberg constant, R_H is wave number unit) (1) Linear with slope -R_H (2) Linear with slope R_H (3) Non linear (4) Linear with intercept -R_H

1. Linear with slope -R_H
2. Linear with slope R_H
3. Non linear
4. Linear with intercept -R_H

Correct answer: Non linear

Solution

The relationship between wave number and the inverse square of the principal quantum number is derived from the Rydberg formula, which indicates that the plot will not be a straight line but rather a curve, making it non-linear.

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