Find variation of angular speed and time period of single. electron of hydrogen like atoms with n and Z.
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electron of hydrogen like atoms with n and Z. . Time period, T=2πω or T prop(1)/(omega)∴T∝n3Z2.
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The variation of angular speed and time period is given as
- As we know the formula of the angular speed that is
- ω=v/r
- As v∝ z/n
- And r∝ n²/z
- Substitute in above equation of angular speed.
- ω∝ (z²/n³)
- The formula of time period is T=2π/ω
- Put the above value in this equation we get
- T∝ n³/z²
- Which states that the time period is inversely proportional to the atomic number.
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