Respuesta :
The wavelength of the line corresponding to n=n= 4 in the Balmer series is 486 nm .
What is meant by wavelength?
A periodic wave's wavelength is its spatial period, or the length over which its shape repeats. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.
This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm). The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.
Expression for the Balmer series to discover the wavelength of the spectral line is as follows:
1 / λ = R [tex](1/2^{2}-1/n^{2} )[/tex]
Where λ stands for the wavelength, R stands for the Rydberg constant, and n is the integral value (4 here → the Fourth level)
Substitute 1.097 x 10⁷ m⁻¹ for R and 4 for n in the above equation
1 / λ = (1.097 x 10⁷ m⁻¹) [tex](1/2^{2}-1/4^{2} )[/tex]
= 0.20568 x 10⁷ m⁻¹
λ = 4.86 x 10⁻⁷ m
since 1 m = 10⁹ nm
λ = 486 nm
Hence, The wavelength of the line corresponding to n=n= 4 in the Balmer series is 486 nm .
To learn more about wavelength refer to:
https://brainly.com/question/10750459
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