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Write the mathematical expression for the calculation of angular momentum of an electron in a given stationary state.?
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Write the mathematical expression for the calculation of angular momen...
Mevr = n h/ 2π(here e is subscript- read as mass of electron) Is this equation correct for the given question.....?
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Write the mathematical expression for the calculation of angular momen...


Calculation of Angular Momentum of an Electron in a Stationary State



Formula:

  • The angular momentum of an electron in a given stationary state is calculated using the formula: L = √(l(l + 1)) h / 2π, where l is the quantum number representing the orbital angular momentum quantum number, h is the Planck constant, and π is a mathematical constant.




Explanation:

  • Angular momentum (L) is a fundamental property of particles in quantum mechanics and is associated with the rotational motion of an object around an axis.
  • In the context of an electron in an atom, the angular momentum is quantized and can only take on certain discrete values determined by the quantum number l.
  • The formula for calculating the angular momentum of an electron in a stationary state takes into account the quantum number l, which is related to the shape of the electron's orbital.
  • The Planck constant h and the mathematical constant π are included in the formula to ensure the angular momentum is expressed in appropriate units.
  • By calculating the angular momentum of an electron in a given stationary state, scientists can better understand the behavior of electrons in atoms and predict their properties.

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