Question

How does the shift observed in the light from a galaxy relate to the distance of the galaxy from Earth?

A. The greater the distance, the more light is redshifted.
B. The greater the distance, the less light is redshifted.
C. At a great enough distance, the light becomes blueshifted.
D. There is no relationship between the shift and the galaxy's distance from Earth.

Answer 1

A. The greater the distance, the more light is red shifted.

Step-by-step explanation:

As we know by the Doppler's effect of light we know that

`(\Delta f)/(f) = (v)/(c)`

if we convert it into wavelength then we will have

`((1)/(\lambda') - (1)/(\lambda))/((1)/(\lambda)) = (v)/(c)`

as the Source is moving away then in that case the frequency will decrease and hence the wavelength will shift towards the larger value and this is known as red shift.

So here we can say that greater the distance then more is the red shift as it shows that the light source is moving away from it.

Answer 2

The answer for this is "A. The greater the distance, the more light is redshifted."

This is according to the Doppler Effect which means that light waves seem to spread out(light is altered/redshifted) when light waves is moving away(greater distance).