First slide

Classical atomic models

Question

Let $A_{n}$ be the area enclosed by the nth orbit in a hydrogen atom. The graph of ln $(A_{n} / A_{1})$ against ln(n): (Here A1 is the first orbit.)

Moderate

A

will pass through origin
B

will be straight line with slope = 4
C

will be a monotonically increasing non-linear curve
D

it will be a circle

Solution

It cant be a circle, since the orbits are in elliptical shape as described by sommerfield. The mathematical reason is we get the equation
$y = 2 (\log n^{2}) x$ , if x=0 the line passes throgh the origin. The equation is y=mx+C form.

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