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Question

If 0.53 A is the Bohr's radius for the 1st orbit of hydrogen atom, the correct statement (s) among the following is/are :

A
The product of Ψ2 and 4πr2 increases till it reaches at the distance of 0.53 A
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B
Ψ2 goes on increasing till it reaches at the distance of 0.53 A
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C
Ψ goes on increasing till it reaches at the distance of 0.53 A
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D
The nodal point for the 1s orbital is at 0.53 A
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Solution

The correct option is A The product of Ψ2 and 4πr2 increases till it reaches at the distance of 0.53 A
(A) The product of Ψ2 and 4πr2 vs r gives the radial probability and it is maximum at 0.53 A
Option (B) and (C) Both Ψ2 and Ψ is maximum at the nucleus and decreases from the nucleus with increase in r.
(D) There are no nodes for 1s orbital. At 0.53 A the probability of finding the electron is maximum.

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