The figure shows a graph between ln A 1 A n and ln ∣ n ∣ , where A n is the area enclosed by the n th orbit in a hydrogen like atom. The correct curve is :

Question

The figure shows a graph between ln ​ A 1 ​ A n ​ ​ ​ and ln ∣ n ∣ , where A n ​ is the area enclosed by the n th orbit in a hydrogen like atom. The correct curve is :

TestHub · Accepted Answer

The area enclosed by the n t h orbit in a hydrogen-like atom is A n ​ ∝ n 2 . Therefore, ln ∣ A n ​ ∣ ∝ ln ∣ n 2 ∣ = 2 ln ∣ n ∣ . Thus, ln ∣ A n ​ ∣ versus ln ∣ n ∣ should be a straight line with a slope of 2. Option A correctly depicts this relationship.

Physics - Modern Physics Question with Solution | TestHub

Options:

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