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The slope of the graph obtained when de-Broglie wave length ( $λ$ ) on Y-axis is plotted against $\frac{1}{Z}$ (Z=atomic number) on X-axis is

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$2 {πr}_{(1, H)}$

$\frac{2 {πr}_{(1, H)}}{n}$

$2 {nπr}_{(1, H)}$

$\frac{2 {nπr}_{(1, H)} Z}{n}$

answer is C.

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Detailed Solution

$nλ = 2 {πr}_{(n, Z)}$

$λ = 2 {πr}_{(1, H)} \times \frac{n}{Z}$

y = mx

slope = $2 {πr}_{(1, H)} \times n$

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