Rydberg Equation

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Rydberg Equation

Postby VictoriaRoderick_3A » Fri Oct 02, 2015 2:28 pm

For chapter 1 question 57, why is it (1/2^2) - 1(7^2) in the Rydberg equation? Since the two is the first number in the Balmer Series, does the sequence start at 2? The question is trying to solve for the fifth line in the sequence, so would it go N1=2 and then N2=3,4,5,6,7 with 7 being the fifth number? That is the only way I can see it working.

Kanwaldeep Rai 2H
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Joined: Fri Sep 25, 2015 3:00 am

Re: Rydberg Equation

Postby Kanwaldeep Rai 2H » Sat Oct 03, 2015 1:43 pm

This is correct. The Balmer Series begins with n1=2 so all the wavelengths that are listed are from n2=3,4,5,6. The next line would be n2=7. You would first find the frequency of this line. V(frequency)= R(1/n1^2-1/n2^2)=
(3.29x10^15 Hz)(1/2^2-1/7^2)= 7.55x10^14 Hz
Then convert this to wavelength by using the equation: wavelength=speed of light/frequency.
Your answer should be 397nm

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