Let be the area enclosed by the nth orbit in a hydrogen atom.The graph of against ln(n)

Question

Philoid · Accepted Answer

As denoted the area of the nth orbit and denotes the area of the first orbit.So,area of the nth orbit will be and that of the first orbit is

Thus,

Now, the nth radius is given by,

Therefore,

So,

On comparing the above with y=mx+c, we get

Thus, Hence , we obtain that the graph will be a straight line passing through the origin with a slope of 4.

Therefore, option A and B are correct.