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The first obrital of H or H like atom is...

The first obrital of H or H like atom is represencted by
`psi = 1/( sqrt pi) (Z/a_0) ^(3//2) e^(-ze//a_0)`
where `a_0 =` Bohr's orbit . The actual probability of fiding the elercrton at a distance r form the nucleus is :

A

`psi^2 dr`

B

`intpsi^2 4 pi r^2 dV`

C

`psi^24 4d`

D

`int psi dV`

Text Solution

Verified by Experts

The correct Answer is:
C
The actual probability of the electron being in an infinitesimal region ` dV` at a distance `r` is given as :
probability `= psi^2 dV`
`:.` 1st orbital is spherically summetrical
` :.V = 4/3 pir^3 or dV = 4pir^2 dr`
` :.` Probability = `psi^2 . 4 pi r^2 dr`.
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P BAHADUR-ATOMIC STRUCTURE-Exercise 3A
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  16. If the speed of electron in the first bohr orbit of hydrogen atom is x...

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  18. Which of the following statement //s is not correct ?

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