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Let A(n) be the area enclosed by the n^(...

Let `A_(n)` be the area enclosed by the `n^(th)` orbit in a hydrogen atom. The graph of `l n (A_(n)//A_(t))` against In `(n)`

A

will not pass through the origin

B

is a straight line with slope 4

C

will be a monotonically increasing non-linear curve

D

will be a circle.

Text Solution

Verified by Experts

The correct Answer is:
B
`A_(n)=pir^(2)=pi(r_(0)n^(2))^(2)`
`=pir_(0)^(2)n^(4)`
`In(A_(n)/A_(l))=In(n^(4))`
= 4 In (n)
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