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For emission line of atomic hydrogen from n_i = 8 to n_f = n, the plot of wave number (ν̄) against (1/n²) will be (The Rydberg constant, R_H is in wave number unit)

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

Correct answer: Linear with slope R_H

Solution

For n_i = 8 -> n_f = n, nu_bar = R_H(1/n^2 - 1/8^2). Plotting nu_bar against (1/n^2) gives a straight line of slope +R_H and intercept -R_H/64.

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