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Question

Calculate the ratio of area of second Orbit with fourth Orbit in hydrogen atom

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Solution

Radius of the nth orbit rn ∝ n2.
For ground state n = 2 and for the first excited state n = 4

Area =3.14xr²
As n is directly proportional to r and r is directly proportional to Area
Therefore
Area of 2 orbit/area of 4 orbit=2²/4²
=4/16=1/4
=1:4

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