# Doppler effect for light Calculator

## Calculates the Doppler shift in wavelength of light.

 The forward angle of light source θ is set as 180 (recede), 0 (approach), 90 (laterally).
 light source:
Wavelength of light λ0
 nm
Velocity v0
 km/s
Forward angle θ
 degree

 at observer:
Wavelength of light λ
 nm
Frequency of light ν
 GHz
Velocity ratio to light v0/c
 ％
 The faster the light source recedes, the redder its color becomes.$\normal Doppler\ effect\ for\ light\\(1)\ \lambda=\lambda_0{\frac{\large 1-\frac{v}{c}cos\theta}{\large\sqrt{1-\frac{v^2}{c^2}}}\hspace{40}\nu=\nu_0{\frac{\large\sqrt{1-\frac{v^2}{c^2}}}{\large 1-\frac{v}{c}cos\theta}}}\\\vspace{5}(2)\ \lambda\nu=\lambda_0\nu_0=c=299792.458km/s$

Sending completion

To improve this 'Doppler effect for light Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired people Others
Useful?
Very Useful A little Not at All
Purpose of use?