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Photon is quantum of radiation with ener...

Photon is quantum of radiation with energy E= hv where v is frequency and h is Planck's constant . The dimesions of h are the same as that of
A) Linear impulse
B) Angular impulse
C) Linear momentum
D) Angular momentum

A

Only A

B

B and D

C

A,B, C ,D

D

A and D

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The correct Answer is:
B
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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) In any subshell, the maximum number of electrons having same value of spin quantum number is :

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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 :

AAKASH SERIES-UNITS AND MEASUREMENT-EXERCISE - I
  1. (A) All zeros to the right of the last nonzero digit after the decimal...

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  2. If the immediate insignificant digit to be dropped is 5 then there wil...

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  3. (A) In multiplication or division, the final result should retain only...

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  4. The correct order in which the dimensions of 'Length" increases in the...

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  5. Dimensional formulae are used A) to convert one system of units into...

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  6. (A) The correctness of an equation is verified using the principle of ...

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  7. Which of the following is not a unit of time A) par - sec " " B)...

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  8. For a body in a uniformly accelerated motion, the distance of the body...

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  9. Three of the quantities defined below has the same dimensional formula...

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  10. If e, E0, h and C respectively represents electronic change, permittiv...

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  11. Photon is quantum of radiation with energy E= hv where v is frequency ...

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  12. If Plank's constant (h) and speed of light in vacuum (c) are taken as ...

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  13. Name of units of some physical quantities are given in List - 1 and th...

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  14. Match the following : {:("List - 1","List - 2"),((a) "second" ,(e) "...

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  15. Name of units of some physical quantities are given in List - 1 and th...

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  16. Match the list - I with list - II {:("List - I","List - II"),((A) "B...

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  17. Dimensional formula for thermal conductivity.

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  18. Force is given by the expression F = A cos (Bx) + C cos (Dt), where x ...

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  19. In the following 'I' refers to current and other sumbols have their us...

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  20. (A) If you look out of the window of a fast moving train, the nearby t...

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