The distance between two consecutive crests of a wave, especially the points of an electromagnetic wave is known as its wavelength. In physics, wavelength and frequency are a closely associated phenomenon. The greater is the frequency, the lesser is the wavelength. When all the light waves progress through the vacuum at the equivalent speed, the total number of wave crests passing through a single point per second relies on the wavelength.
The wavelength equation is expressed by λ The wavelength formula of a given wave is stated as
λ = v/f
Where,
F = frequency
v= velocity of the wave
The unit of wavelength is m, frequency in Hz, and velocity is m/s.
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State the Dimensional Formula of Wavelength
The dimensional formula of wavelength is expressed by the following formula:
[m0 l1 t0]
Where,
m= mass
l= length
t= time
Derivation
Wavelength= distance between similar points in adjacent cycles of a waveform
As the dimensional formula of distance is [m0 l1 t0], so, the wavelength formula is dimensionally represented as [m0 l1 t0].
Explain Wien’s Law Formula?
Wein’s law was named after German physicist Wilhelm Wien, who states that objects of different temperature emit spectra that peak at a different wavelength. It further explains that black body radiation has various peaks of temperature at wavelengths that are proportional inversely to temperature.
λ max = b/T
Where,
b = Wien’s displacement constant
T =temperature in kelvins
State Energy Photon Formula
Photon is characterized by an equivalent energy E or by wavelength λ
The photon energy is found to be inversely proportional to its wavelength.
The energy of photon equation:
E= hc/λ
Conclusion
The wavelength concept is an important chapter of physics that helps us to understand a number of phenomena. Its main application is found in defining concepts of light.