The wavelength of red light is double the wavelength of violet light.
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Explanation:</h3>
Let = Frequency of red light source
Let = Frequency of violet light source
Let λR = Wavelength of red light source
Let λV = Wavelength of violet light source
Given: Frequency of violet light is two times (double) the frequency of red light.
Therefore ........................(1)
The relation between speed of light (c), frequency (n) and wavelength (λ) is given by
c = nλ
<em>Frequency is inversely proportional to λ.</em>
The speed of light remains constant for both light sources = c = 3 × 10⁸ m/s²
For red light source: λR ........................(2)
For violet light source: λV ..................(3)
Equating (2) and (3), we get
λR = λV
From (1)
λR = λV
λR = 2 × λV
Therefore, wavelength of red light is two times the wavelength of violet light.