Nm [9 0]
In the hydrogen spectrum, what is the wavelength of light associated with the n=2 to n=1 electron transition?
a)1.097 nm
b)364.9 nm
c)0.1097 x 10^-8 cm
d)9.122 x 10^-8 m
e) 1.216 x 10^-7 m
This problem is slightly challenging, but not hard;)
To solve this, first you have to find the energy, and to do this you need to use the formula:
[2.18*10^-18/n^2 final - 2.18*10^-18/n^2 initial
So in this case it would look something like this:
[ 2.18*10^-18 / 1 - 2.18*10^-18/4] = 1.635*10^-18
Now that is your energy.
Now you use the formula :
E = hc / lamdba Where:
E = Energy
h = Planck's constant which is 6.626*10^-34
c = Speed of light which is 3.00*10^8
Lambda = wavelength'
So in the question they are asking for wavelength, so yoy manipulate the formula so you are solving for lamdba. So you'd have:
Lambda = hc/e
Lamdba = (6.626*10^-34)(3.00*10^8) / 1.635*10^-18 = 1.22*10^-7
So your answer would be e) 1.216*10^-7
Hope that helped!!
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