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The figure shows a graph between 1n |(A(...

The figure shows a graph between `1n |(A_(n))/(A_(1))|` and `1n|n|`, where `A_(n)` is the area enclosed by the `n^(th)` orbit in a hydrogen like atom. The correct curve is

A

4

B

3

C

2

D

1

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • 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

  • In hydrogen atom, the area enclosed by n^(th) orbit is A_(n) . The graph between log (A_(n)/A_(1)) log will be

    A
    B
    C
    D

  • If, in a hydrogen atom, radius of nth Bohr orbit is r_(n) frequency of revolution of electron in nth orbit is f_(n) and area enclosed by the nth orbit is A_(n) , then which of the pollowing graphs are correct?

    A
    B
    C
    D

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    A sequence is defined as follows : a_(1)=3, a_(n)=2a_(n-1)+1 , where n gt 1 . Where n gt 1 . Find (a_(n+1))/(a_(n)) for n = 1, 2, 3.

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