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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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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 MEASUREMENTS-EXERCISE -1 A
  1. (A) : : Plane angle has unit but no dimensional formula (B) : All di...

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

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

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  4. .(A): The value of dimensionless constants or proportionality constant...

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

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  6. Which of the following is dimensionless (a) Boltzmann constant (b) ...

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

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

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

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

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  11. A book with many printing errors contains four different expressions f...

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  12. {:("List-I","List - 2"),((a)"Temperature", "(e)Light Year"),((b)"Mass"...

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

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  14. {:("List-I","List - 2"),((a)m^(-1),(e)"Surface tension"),((b)Pa,(f)"Th...

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  15. {:("List-I","List-2"),((a)"Electron volt",(e)746 W),((b) "kWH", (f) 10...

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  16. {:("List-I","List-2"),((a)"Pressure ",(e)ML^(2)T^(-2)I^(-1)),((b)"Late...

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  17. {:("List-I","List-2"),((a)"Surface Tension ",(e)"Gas constant "),((b)...

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  18. {:("List-I","List-2"),((a)"Same negative dimensions of mass ",(e)"Pres...

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  19. Some physical constants are given in List - I and their dimensional fo...

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  20. Dimensional formula for thermal conductivity.

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