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Which of the plots shown in the figure represents speed (v) of the electron in a hydrogen atom as a function of the principal quantum number (n)?

Asked in JEE Main Online 2012 · Postulates, radius, speed and angular momentum

Figure: Postulates, radius, speed and angular momentum

(1) B
(2) D
(3) C
(4) A

Answer: (1) B

Step-by-step solution

v∝1/n: falls steeply at first, then flattens.

Curve B has this shape.

Why the other options are wrong

(2) D rises with n; speed falls.
(3) C rises linearly.
(4) A is a straight falling line; v∝1/n is a curve.

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