us un of energy. For emission line of atomic hydrogen from ni = 8 to n = n, the plot of wave number () against will be (The Rydberg constant, RH is in wave number unit) (JEE(Main) 2019 Online (09-01-19), 4/120] (0) Linear with intercept -RH (2) Linear with slope -RH (3) Non linear (4) Linear with slope RH

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Correct option (4) Linear with s slope ( mathbf{R}_{mathbf{H}} ) Explanation: ( frac{1}{lambda}=overline{mathrm{v}}=mathrm{R}_{mathrm{H}} mathrm{z}^{2}left(frac{1}{eta_{mathrm{l}}^{2}}-frac{1}{eta_{2}^{2}}right) ) ( overline{mathrm{v}}=mathrm{R}_{mathrm{H}} timesleft(frac{1}{eta_{mathrm{l}}^{2}}-frac{1}{8^{2}}right) ) ( overline{mathbf{v}}=mathbf{R}_{mathbf{H}} times frac{1}{eta^{2}}-frac{mathbf{R}_{mathrm{H}}}{8^{2}} ) ( bar{v}=R_{H} times frac{1}{eta^{2}}-frac{R_{H}}{64} ) [ m=R_{H} ] Linear with slope ( mathrm{R}_{mathrm{H}} )

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