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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 pass through the origin

B

will have certain point lying on a straight line with slope `4`

C

will be a monotonically increasing nonlinear curve

D

will be a circle

Text Solution

Verified by Experts

The correct Answer is:
A, B
`A_(n)=pir^(2)=pi(r_(0)n^(2))^(2)`
`=pir_(0)^(2)n^(4)`
`l n(A_(n))/(A_(1))= l n(n^(4))=4 l n n`.
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