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The Schrodinger wave equation for hydrog...

The Schrodinger wave equation for hydrogen atom is
`Psi("radial")=(1)/(16sqrt(4))((Z)/(a_(0)))^(3//2)[(sigma-1)(sigma^(2)-8sigma+12)]e^(-sigma//2)`
where `a_(0)` and Z are the constant in which anwer can be expressed and `sigma=(2Zr)/(a_(0))`
minimum and maximum position of radial nodes from nucleus are .... respectively.

A

`(a_(0))/(Z),(3a_(0))/(Z)`

B

`(a_(0))/(2Z),(a_(0))/(Z)`

C

`(a_(0))/(2Z),(3a_(0))/(Z)`

D

`(a_(0))/(2Z),(4a_(0))/(Z)`

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The Schrodinger wave equation for hydrogen atom of 4s- orbital is given by : Psi (r) = (1)/(16sqrt4)((1)/(a_(0)))^(3//2)[(sigma^(2) - 1)(sigma^(2) - 8 sigma + 12)]e^(-sigma//2) where a_(0) = 1^(st) Bohr radius and sigma = (2r)/(a_(0)) . The distance from the nucleus where there will be no radial node will be :

[" The distance of spherical nodes "],[" from nucleus for the given orbital "],[" are "],[qquad [psi_(" radial ")=(1)/(9sqrt(2))((Z)/(a_(0)))^(3/2)[(sigma^(2)-4 sigma+3)]exp(-sigma/2],[" where "a_(0)&Z" are the constants and "],[sigma=(2Zr)/(a_(0))]]

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The Schrodinger wave equation for hydrogen atom is psi_(2s) =1/(4sqrt(2pi)) (1/(a_(0)))^(3//2)(2-r/(a_(0)))e^(-t//a_(0)) where a_0 is Bohr's radius. If the radial node in 2 s be at r_0 , then r_0 would be equal to

The radial wave equyation for hydrogen of radial nodes from nucleus are: Psi_(1s)=(1)/(16sqrt(4))(1/a_(0))^(3//2) [("x"-1)("x"^(2)-8"x"+12)]e^(-x//2) where, x=2r//a_(0),a_(0) = radius of first Bohar orbit The minimum and maximum position of radial nodes from nucles are:

For a 3s-orbital Phi(3s)=(1)/(asqrt(3))((1)/(a_(0)))^(3//2)(6-6sigma+sigma^(2))in^(-sigma//2) where sigma=(2rZ)/(3a_(sigma)) What is the maximum radial distance of node from nucleus?

For an orbital in B^(+4) radial function is : R(r ) = (1)/(9sqrt(6))((z)/(a_(0)))^((3)/(4))(4-sigma)sigma e^(-sigma//2 where sigma = (Zr)/(a_(0)) and a_(0)=0.529Å,Z = atomic number, r= radial distance from nucleus. The radial node of orbital is at distance from nucleous.

NARENDRA AWASTHI-ATOMIC STUCTURE-Exercise
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  2. The Schrodinger wave equation for hydrogen atom is Psi(2s) = (1)/(4sqr...

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  3. The Schrodinger wave equation for hydrogen atom is Psi("radial")=(1)...

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