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Physical Chemistry

How we calculate number of spectral lines when electron jumps from 5 to 2nd Orbit.

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Profile image of P Pitti
7 Years agoGrade
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Profile image of Rajdeep
7 Years ago
HELLO THERE!
 
When the destination orbit is the first orbit, then it is very easy to calculate the number of sprectal lines, just by using the formula:
\frac{n(n-1)}{2}
 
However, when the destination orbit is not the first orbit, then the formula for calculating the number of spectral lines is:
\frac{(n_{2} - n_{1})(n_{2}-n_{1}+1)}{2}
 
In the above question, we have:
n_{2} = 5 \\n_{1} = 2
 
From the above mentioned formula, we get:
Number of spectral lines =
\frac{(5-2)(5-2+1)}{2} = 6
 
So, there are six (6) spectral lines!
 
THANKS!