Aspaceship is traveling at a speed of 15000 km/s from planet b toward planet a the spaceship sends out a signal with a wavelength og 4 nm if astronomers living on planets a and b measure the radio waves coming from the spaceship what wavelengths will they measure?

of

Astronomers living on planets a measure λO = 3.80_nm

Astronomers living on planets b measure λO = 4.2_nm

Explanation:

Astronomers living on planets a measure λO = 3.80_nm

Astronomers living on planets b measure λO = 4.2_nm

a.) Speed of the radio wave

c = 299792458 m/s.

λO = λS(c − vS)/(c − vO)

λO = observed wavelength

λS = source constant wavelength = 4 nm

c = wavefront constant velocity = 299792458 m/s

vS = velocity of the source = 15000 km/s

vO = velocity of the observer 0

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.