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Q.

Which  of the following about an electron occupying the 1s-orbital in a hydrogen atom  are correct  (The Bohr radius is represented by  a0)

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a

 The electron can be found at a distance 2a0 from the nucleus.

b

The magnitude of the potential energy is double that of its kinetic energy on an Average. 

c

The probability density of finding the electron is maximum at the nucleus.

d

The total energy of the electron is maximum when it is at a distance  a0 from the nucleus.  

answer is A, B, C.

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Detailed Solution

Statement (d) is incorrect. For 1s-orbital radial probability density R2 against r give as:  For 1s-orbital, probability density decreases sharply as we move away from the nucleus. The radial distribution curves obtained by plotting radial probability functions Vs r for  1st orbital is The graph initially increases and then decreases. It reaches a maximum at a distance very close to the  nucleus and then decreases. The maximum in the curve corresponds to the distance at which the  probability of finding the electron is maximum.

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