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The Schrodinger wave equation for hydrog...

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 :

A

`r = (a_(0))/(2)`

B

`r = 3a_(0)`

C

`r = a_(0)`

D

`r = 2a_(0)`

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The correct Answer is:
D
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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.

For a 3s - orbital, value of Phi is given by following realation: Psi(3s)=(1)/(9sqrt(3))((1)/(a_(0)))^(3//2)(6-6sigma+sigma^(2))e^(-sigma//2)," where " sigma=(2r.Z)/(3a_(0)) What is the maximum radial distance of node from nucleus?

The Schrodinger wave equation for hydrogen atom is Psi_(2s) = (1)/(4sqrt(2pi)) ((1)/(a_(0)))^(3//2) (2 - (r)/(a_(0))) e^(-r//a_(0)) , where a_(0) is Bohr's radius . If the radial node in 2s 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:

[" 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))]]

For H-atom wave function for a particulaonstate is: Psi=(1)/(81sqrt(3pi))((1)/(a_(0)))^(3//2) (sigma^(2)-10sigma+25)e Where sigma=r//a_(0) and a_(0) is Bohr's radius (0.53overset(@)A) . Then distance of farthest radius mode is approximately.

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.

GRB PUBLICATION-ATOMIC STRUCTURE-Schrodinger Wave equation
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  2. The Schrodinger wave equation for hydrogen atom of 4s- orbital is give...

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  3. Orbital angular momentum of 3s and 3p are :

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  4. The Schrodinger wave equation for hydrogen atom is Psi(2s) = (1)/(4sqr...

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  5. Which of the following options is correct regarding True (T) or False(...

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  6. For an orbital , having no planar angular nodes following the equation...

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  7. Choose the correct statement(s) .

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  8. Which orbital is represented by the complete wave function , Psi(420) ...

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  9. The orbitals amongst the following , having three nodal surfaces:

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  10. Psi((r)) = ke^(-r//k(1)) dot" r^(2) (r^(2) - k(2)r + k(3)) . If the o...

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  11. For the wave function Psi= (sqrt2)/(81sqrtpi a(0)^(3//2))[6 - (r)/(a...

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  12. For an orbital , Psi(300) = (1)/(81sqrt3 pi) ((z)/(a(0)))^(3//2)[27 ...

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  13. Given wave function represents which orbital of hydrogen Psi=1/4 1/(sq...

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  14. An obital is found ot contain total nodes= 3 and radial nodes = 1. Obi...

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  15. What is the maximum degeneracy of a level of H-atom, where e^(-) has e...

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  16. Which statement is not true, regarding 2s orbital?

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  17. The number of radial nodes fo 3s and 2p orbitals are respectively:

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  18. For an electron, with n=3 has only one radial node. The orbital angu...

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  19. Angular wave function of P(x) orbital is : (Given : 0 is angle from z-...

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  20. How many angule nodes does a d-orbital possess?

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