the ratio of minimum wavelength of Lyman and balmer series will be ?

Question

Answer

by using formula let wavelength. = ¥1/¥ = R(  1/n(1)²   -    1/n(2)²    )here n(2) in both case is ∞and n(1) is shell where electron reach in Lyman n(1) = 1 1/¥(L) = R( 1/1²  - 1/∞² )1/¥ (L) = R .....{1}in blamer  n(1) = 21/¥(B) = R ( 1/2² - 1/∞² )1/¥(B) = R (1/4).....{2}equation {2}÷{1}¥(L) / ¥(B) = (R/4) ÷(R)ratio of minimum wavelength of Lyman to Balmer is       1:4

Answer

sorry wave number will be 4:1 but wavelength will be 1:4.

Answer

0.25

Answer

I think it's 4:1 as it will be 1/l^2÷1/b^2 when rydberg constant gets cancel out and shortest wavelength will be infinity (=0) and l=1 and b=2.

Answer

5/27since

Answer

Ratio of Minimum Wavelength of Lyman and Balmer Series
The ratio of the minimum wavelengths of the Lyman and Balmer series can be calculated based on the formula for the wavelengths of spectral lines emitted by hydrogen atoms. The Lyman series corresponds to transitions ending in the ground state (n=1) while the Balmer series corresponds to transitions ending in the first excited state (n=2).

Calculating the Wavelengths
1. The formula for calculating the wavelength of a spectral line emitted by hydrogen is given by the Rydberg formula:
$\frac {1}{\lambda} = R (\frac{1}{n_1^2} - \frac{1}{n_2^2})$
where R is the Rydberg constant, n1 is the initial energy level, and n2 is the final energy level.
2. For the Lyman series, n1 = 2 and n2 = 1. Substituting these values into the formula gives the minimum wavelength for the Lyman series.
3. For the Balmer series, n1 = 3 and n2 = 2. Substituting these values into the formula gives the minimum wavelength for the Balmer series.

Calculating the Ratio
4. By dividing the minimum wavelength of the Lyman series by the minimum wavelength of the Balmer series, you can find the ratio between the two series.
5. Simplifying this ratio will give you a numerical value that represents the relationship between the minimum wavelengths of the Lyman and Balmer series.
In conclusion, the ratio of the minimum wavelengths of the Lyman and Balmer series can be calculated using the Rydberg formula for hydrogen spectral lines. This ratio provides insight into the energy levels and transitions of hydrogen atoms, helping us understand the behavior of atomic spectra.

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