The Z and the required element.
Answer to Problem 60GP
The value of
Explanation of Solution
Given info:
The spectrum of the unknown element shows the series of jines with one out of every four matching a line from the Lyman series of hydrogen.
Assume that the element is the ion with the Z protons.
Calculation
Consider the energy states of hydrogen atom.
Consider the wavelength of the transition from the bohr formula is given by,
As the atomic number of the hydrogen is
Consider the lower energy state of the Lyman series is
Then, the wavelength of the Lyman series in hydrogen is given by,
Let the atomic number of the unknown atom is Z and the wavelength out of every four transitions between n to n coincides with the Lyman series of hydrogen atom.
Then, the wavelength of the Lyman series in hydrogen is given by,
Consider the wavelength of both the series coincide. Then, from equation 1 and 2
The above case is possible when the
Thus, the element is beryllium.
Conclusion:
Therefore, the value of
Chapter 28 Solutions
Physics: Principles with Applications
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