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psi^ (2) determine the probability of fi...

`psi^ (2)` determine the probability of finding the electron in particular region of sapce

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The Schrodinger wave equation for H-atom is nabla^(2) Psi = (8pi^(2)m)/(h^(2)) (E-V) Psi = 0 Where nabla^(2) = (del^(2))/(delx^(2)) +(del^(2))/(dely^(2)) +(del^(2))/(delz^(2)) E = Total energy and V=potential energy wave function Psi_(((r, theta,phi)))R_((r))Theta_((theta))Phi_((phi)) R is radial wave function which is function of ''r'' only, where r is the distance from nucleus. Theta and Phi are angular wave function. R^(2) is known as radial probability density and 4pir^(2)R^(2)dr is known as radial probability function i.e., the probability of finding the electron is spherical shell of thickness dr. Number of radial node =n -l - 1 Number of angular node = l For hydrogen atom, wave function for 1s and 2s-orbitals are: Psi_(1s) = sqrt((1)/(pia_(0)^(a)))e^(-z_(r)//a_(0)) Psi_(2s) = ((Z)/(2a_(0)))^(½) (1-(Zr)/(a_(0)))e^(-(Zr)/(a_(0))) The plot of radial probability function 4pir^(2)R^(2) aganist r will be: Answer the following questions: The following graph is plotted for ns-orbitals The value of 'n' will be:

CENGAGE CHEMISTRY-ATOMIC STRUCTURE-Exercises True And False
  1. The azimuthal quantum, number (l) determines the energy level of the s...

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  2. e//m ratio of proton is greater than that of electron

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  3. p(x) orbital , is symetrical about x -axis

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  4. In an orbital, maximum two electron can be accomodated

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  5. psi^ (2) determine the probability of finding the electron in particul...

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  6. All Emr travel with speed of light

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  7. The s orbital is spectrical in shape

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  8. For ant two electrons in an atom, the set of all four quantum numkber...

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  9. Half-filled and fully-filled orbital orbitals are more stable

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  10. The orbital angular momentum of a p electron is equal to sqrt(2) (h)/(...

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  11. The position and velocity of an can be determined precisely

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  12. The magnetic quantum number gives the orientation of electron clouds ...

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  13. The electron distribution is sheprically symmerical for l = 2

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  14. For hydrogen atom , the energies of the sub-shells 4s ,4p, 4d and 4f a...

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  15. 3s orbital has three nodes

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  16. 4s orbitals has less energy than 3d orbital

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  17. The order of sheiding effect for different orbital is s gt p gt d gt ...

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  18. The 3g orbital is not possible

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  19. A single photon excites only a single electron

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  20. An electron can absorb more than one photon simultaneously .

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