Which of these is the correct relationship between b, the bias factor, the fluctuations in mass (Δρ/ρ)mass and the fluctuations in light (Δρ/ρ)light?

b2(Δρ/ρ)light = (Δρ/ρ)mass−1
(Δρ/ρ)light (Δρ/ρ)mass=b
(Δρ/ρ)light=b(Δρ/ρ)mass
(Δρ/ρ)lightb=(Δρ/ρ)light

Do not post any more of these until you also indicate what YOU HAVE DONE to try to solve each one.

That's at the beginning of module 10/2 - are you brain-dead

To determine the correct relationship between b, the bias factor, and the fluctuations in mass (Δρ/ρ)mass and fluctuations in light (Δρ/ρ)light, we need to compare the given options.

Option 1: b2(Δρ/ρ)light = (Δρ/ρ)mass−1
Option 2: (Δρ/ρ)light (Δρ/ρ)mass=b
Option 3: (Δρ/ρ)light=b(Δρ/ρ)mass
Option 4: (Δρ/ρ)lightb=(Δρ/ρ)light

Let's break down each option:

Option 1: This equation states that the square of the bias factor times the fluctuations in light is equal to the inverse of the fluctuations in mass. This relationship is not specified or commonly used.

Option 2: This equation suggests that the product of the fluctuations in light and the fluctuations in mass is equal to the bias factor. This relationship is also not commonly used.

Option 3: This equation shows that the fluctuations in light is equal to the bias factor times the fluctuations in mass. This is a commonly used relationship in cosmology and large-scale structure formation.

Option 4: This equation suggests that the product of the fluctuations in light and the bias factor is equal to the fluctuations in light. This relationship is not supported by any physical interpretation.

Based on the explanations above, the correct relationship between b, the bias factor, the fluctuations in mass (Δρ/ρ)mass, and the fluctuations in light (Δρ/ρ)light is:
(Δρ/ρ)light=b(Δρ/ρ)mass