Question

A red light source emits light of a certain frequency. A violet light source emits light that has double the frequency of the red light source. How does the wavelength of the red light compare to the violet light.

Answer 1

a

Step-by-step explanation:

Answer 2

The wavelength of red light is double the wavelength of violet light.

Step-by-step explanation:

Let
`n_R` = Frequency of red light source

Let
`n_V` = 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
`n_V = 2* n_R` ........................(1)

The relation between speed of light (c), frequency (n) and wavelength (λ) is given by

c = nλ

Frequency is inversely proportional to λ.

The speed of light remains constant for both light sources = c = 3 × 10⁸ m/s²

For red light source:
`c = n_R*` λR ........................(2)

For violet light source:
`c = n_V*` λV ..................(3)

Equating (2) and (3), we get

`c= n_R*` λR =
`n_V *` λV

From (1)

`n_R*` λR =
`2* n_R*` λV

λR = 2 × λV

Therefore, wavelength of red light is two times the wavelength of violet light.