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Number of possible spectral lines which may be emitted in bracket series in H atom if electrons present 9th excited level returns to ground level, are
- a)21
- b)6
- c)45
- d)5
Correct answer is option 'B'. Can you explain this answer?
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Number of possible spectral lines which may be emitted in bracket seri...
Total line = 6
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Explanation:
To solve this question, we need to understand the concept of the bracket series in the Hydrogen atom and the number of possible spectral lines emitted when an electron transitions from the 9th excited level to the ground level.
Bracket Series:
The bracket series is a set of spectral lines that are emitted when an electron transitions from higher energy levels to the fourth energy level (n=4) in a Hydrogen atom. The bracket series includes five different series, named after their discoverers: Pfund series, Brackett series, Pfund series, Humphreys series, and Humphreys series.
Number of Spectral Lines:
The number of possible spectral lines emitted can be calculated using the formula:
Number of Spectral Lines = (n2 - n1) + 1
Where n2 represents the final energy level (ground state) and n1 represents the initial energy level (9th excited level).
In this case, the electron transitions from the 9th excited level (n1=9) to the ground level (n2=1). Substituting these values into the formula, we get:
Number of Spectral Lines = (1 - 9) + 1
Number of Spectral Lines = -8 + 1
Number of Spectral Lines = -7
Since the number of spectral lines cannot be negative, we need to take the absolute value of -7, which gives us 7.
However, the question specifically asks for the number of spectral lines in the bracket series. In the bracket series, the electron transitions to the fourth energy level (n=4).
Therefore, the correct answer is option B) 6, as there are 6 possible spectral lines emitted in the bracket series when an electron transitions from the 9th excited level to the ground level.
To solve this question, we need to understand the concept of the bracket series in the Hydrogen atom and the number of possible spectral lines emitted when an electron transitions from the 9th excited level to the ground level.
Bracket Series:
The bracket series is a set of spectral lines that are emitted when an electron transitions from higher energy levels to the fourth energy level (n=4) in a Hydrogen atom. The bracket series includes five different series, named after their discoverers: Pfund series, Brackett series, Pfund series, Humphreys series, and Humphreys series.
Number of Spectral Lines:
The number of possible spectral lines emitted can be calculated using the formula:
Number of Spectral Lines = (n2 - n1) + 1
Where n2 represents the final energy level (ground state) and n1 represents the initial energy level (9th excited level).
In this case, the electron transitions from the 9th excited level (n1=9) to the ground level (n2=1). Substituting these values into the formula, we get:
Number of Spectral Lines = (1 - 9) + 1
Number of Spectral Lines = -8 + 1
Number of Spectral Lines = -7
Since the number of spectral lines cannot be negative, we need to take the absolute value of -7, which gives us 7.
However, the question specifically asks for the number of spectral lines in the bracket series. In the bracket series, the electron transitions to the fourth energy level (n=4).
Therefore, the correct answer is option B) 6, as there are 6 possible spectral lines emitted in the bracket series when an electron transitions from the 9th excited level to the ground level.
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