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Given wave function represents which orb...

Given wave function represents which orbital of hydrogen ``Psi=1/4 1/(sqrt2pi)(1/(alpha_(0)))^(5//2) re^(-r//2alpha)cos 0`
(where 0=angle from z-axis)

A

`2P_(y)`

B

`2P_(z)`

C

`3P_(y)`

D

`3P_(Z)`

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The correct Answer is:
B
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The wave function for 2s orbital is given as: Psi = ((1)/(sqrt2)) ((1)/(alpha_(0)))^(3//2)(2- (r)/(alpha_(0))).e^(-r//2alpha_(0) Where alpha_(0) = First Bohr's radius in H-atom =0.529 "Å" Read the given statement and pick out the correct statement(s).

The Wave function (Psi) of 2s is given by: Psi_(2s)=(1)/(2sqrt2pi)(1/a_(0))^(1//2){2-(r)/a^(0)}e^(-r//2a_(0)) At r =r_(0) , radial node is formed . Thus for 2s ,r_(0), in terms of a_(0) is-

Consider psi (wave function) of 2s atomic orbital of H-atom is- psi_(2s)=(1)/(4sqrt(2pia_(0)^(3//2)))[2-(r )/(a_(0))]e^.(r )/(2a_(0) Find distance of radial node from nucleous in terms of a_(0)

A wave function for an atomic orbital is given as Psi_(2,1,0) Recogine the orbital

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 wave function of 3s and 3p_(z) orbitals are given by : Psi_(3s) = 1/(9sqrt3) ((1)/(4pi))^(1//2) ((Z)/(sigma_(0)))^(3//2)(6=6sigma+sigma)e^(-sigma//2) Psi_(3s_(z))=1/(9sqrt6)((3)/(4pi))^(1//2)((Z)/(sigma_(0)))^(3//2)(4-sigma)sigmae^(-sigma//2)cos0, sigma=(2Zr)/(nalpha_(0)) where alpha_(0)=1st Bohr radius , Z= charge number of nucleus, r= distance from nucleus. From this we can conclude:

GRB PUBLICATION-ATOMIC STRUCTURE-Schrodinger Wave equation
  1. Which of the following options is correct regarding True (T) or False(...

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

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  3. Choose the correct statement(s) .

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. How many radial nodes does a 3d-orbital possess?

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  18. Which quantum number is not related with Schrodinger equation :-

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  19. Question : Is the orbital of hydrogen atom 3p(x) ? STATE 1 : The ra...

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  20. The quatum numbers +(1)/(2) and -(1)/(2) for the electron spin represe...

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