Respuesta :
Answer:
Explanation:
It is spectrum of the hydrogen atom is well known the first lines of the Lyman series are: 1216, 1025, 972, 949, 937 A
These series of increasingly close lines were studied and found from the equation c = L F the frequency varies with the inverse of the wavelength
The series has the general form of convergence towards a puno in the infinite in the Lyman series this point is about 919 A, so this convergence is explained by a mathematical series of that of some number that is the end of the series power of the 1/xⁿ form;
Let's try to find the explicit series, let's find the inverse of each wavelength
λ 1/λ 1/λ (x1000) n (1- 1/n) (1- 1/n²)
1216 0.000822 0.822 2 0.5 0.75
1025 0.0009756 0.976 3 0.66 0.889
972 0.00103 1.030 4 0.75 0.9375
949 0.00105 1.050 5 0.8 0.96
937 0.001067 1.067 6 0.833 0.972
Let us graph each case where the axis and place the Lym series values, multiplied by 1000 for clarity and each series, from the graph examination it can be seen that the series with 1 / n2 is better suited to the experimental values
Therefore the functional form of the series is
1 /λ = C (1 -1 / n²)
Let's perform the same procedure for the other series, finding the correct functional form is
Balmer 1 /λ = C2 (1/2² -1/n²)
Paschem 1 /λ = C3 (1/3² - 1/n²)
After seeing these three series we can propose an eral form for all the series of the different lines
1 / λ = R (1 /n₀² - 1 / Nₓ²)
R = 1,097 107 m-1
With nₓ > n₀
b) let's calculate the wavelength for each point
Lymas n = 5
1 / L = 1.097 107 (1 - 1/52) = 1.097 107 0.96
1 / L = 1.05 107
L = 9495.5 A
Balmer n = 7
1 / L = 1.097 107 (1/22 - 1/72) = 1.097 107 0.229
1 / L = 0.2518 107
L = 3970.4 A
Paschem n = 10
1 / L = 1,097 107 (1/32 - 1/102) = 1,097 107 0.1011
1 / L = 11091.9 A
