An external energy is used to excite an electron in the K shell of a hydrogen atom to the M shell. The angular momentum of the electron in the new shell after excitation is ________. 

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  1. 1.055 × 10-34
  2. 2.110 × 10-34
  3. 6.625 × 10-34
  4. 3.165 × 10-34

Answer (Detailed Solution Below)

Option 4 : 3.165 × 10-34
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Detailed Solution

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Concept:

The mathematical expression for the angular momentum of an electron can be stated as follows:

  • nh2π
    h2πh2π


     


Here, m = mass of electron

v = velocity of electron

r = radius of the orbit or shell in which the electron is revolving/rotating

n = number of orbit in which the electron is revolving

h = Planck’s constant having a value of  6.626×1034
6.626×10342/6.626×10

 

Explanation:

Electron is excited from n=1 to n=3 i.e. from K to M shell,

 

 

Hence, the correct answer is 

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