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The orbital angular momentum of 3p elect...

The orbital angular momentum of 3p electrons is :

A

`sqrt(3)h`

B

`sqrt(6)h`

C

zero

D

`sqrt(2)(h)/(2pi)`

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The correct Answer is:
D
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Assertion (A) : The orbital angular momentum of 2s-electron is equal to that of 3s-electron. Reason (R) : The orbital angular momentum is given by the relation sqrt(l(l+1))(h)/(2pi) and the value of 1 is same for 2s-electron and 3s-electron.

It is tempting to think that all possible transitions are permissible, and that an atomic spectrum arises from the transition of the electron from any initial orbital to any other orbital. However, this is not so, because a photon has an intrinsic spin angular momentum of sqrt2 (h)/(2pi) corresponding to S = 1 although it has no charge and no rest mass. On the other hand, an electron has got two types of angular momentum : Orbital angular momentum, L=sqrt(l(l+1))h/(2pi) and spin angular momentum, arising from orbital motion and spin motion of electron respectively. The change in angular momentum of the electron during any electronic transition must compensate for the angular momentum carries away by the photon. to satisfy this condition the difference between the azimuthal quantum numbers of the orbital within which transition takes place must differ by one. Thus, an electron in a d-orbital (1 = 2) cannot make a transition into an s = orbital (I = 0) because the photon cannot carry away enough angular momentum. An electron as is well known, possess four quantum numbers n, I, m and s. Out of these four I determines the magnitude of orbital angular momentum (mentioned above) while (2n m determines its z-components as m((h)/(2pi)) the permissible values of only integers right from -1 to + l. While those for I are also integers starting from 0 to (n − 1). The values of I denotes the sub shell. For I = 0, 1, 2, 3, 4,..... the sub-shells are denoted by the symbols s, p, d, f, g, .... respectively The orbital angular momentum of an electron in p-orbital makes an angle of 45^@ from Z-axis. Hence Z-component of orbital angular momentum of election is :

What are the values of the orbital angular momentum of an electron in the orbitals 1s, 3s, 3d and 2p ?

Spin angular momentum of an electron has no analog in classical mechanics. However, it turns out that the treatment of spin angular momentum is closely analogous to the treatment of orbital angular momentum. Spin angular momentum = sqrt(s(s+1)h) Orbital angular momentum = sqrt(l(l+1)h) Total spin of an atom or ion is a multiple of (1)/(2) . Spin multiplicity is a factor to confirm the electronic configuration of an atom or ion. Spin multiplicity (2 sum s +1) The orbital angular momentum for a 2p-electron is :

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According to Bohr's theory, the angular momentum of electron in 5th orbit is

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AAKASH SERIES-ATOMIC STRUCTURE-Level - I (MAIN) (Exercise - VI (Miscellaneous))
  1. Let A(n) be the area enclosed by n^(th) orbit in the H-atoms. The grap...

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  2. Which of the following is incorrect for d-subshell (or) orbital

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  3. Maximum probability of finding an electron along xy orbital is

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  4. Which of the following relationship is correct ?

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  5. How many electrons in atom can have n =4, =2, m=-2 and s = +(1)/(2) ?

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  6. The quantum numbers of four electrons (e(1) " to " e(4)) are given bel...

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  7. A metal surface having v(0) as threshold frequency is incident by ligh...

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  8. Which statement are correct ?

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  9. The work function (phi) of some metals is listed below. The number of ...

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  10. The orbital angular momentum of 3p electrons is :

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  11. H-atoms in ground state (13.6 eV) are excited by monochromatic radiati...

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  12. Balmer series spectral lines are observed in visible region, in the sp...

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  13. The potential energy of an electron in the hydrogen atom is -6.8 eV. I...

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  14. Which of the following rules could explains the presence of three unpa...

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  15. Number of waves produced by an electron in one complete revolution in ...

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  16. The mass of a particle is 10^(10)g and its radius is 2 xx 10^(-4)cm. I...

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  17. What is the shortest wavelength line in the Paschen series of Li^(2+) ...

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  18. The radii of maximum probability for 3s, 3p and 3d electrons are in th...

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  19. If the subsidiary quantum number of a subenergy level is 4, the maximu...

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  20. The iron atom, how many electrons atom have n=3 and l= 2 ?

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