If the stars at the turnoff point in a star cluster have masses of about four solar masses, how old is the cluster

age of the cluster is 3.125 × 10⁸ years

Explanation:

Given that;

stars at the turnoff point in a star cluster have masses of about 4 solar masses

Age of the cluster?

we know that the main sequence lifetime of a star in solar lifetime(t) is related to the mass of the star in solar masses(M). expressed as

ζ = M^(-5/2)

our M is 4, so we substitute

ζ = 4^(-5/2)

ζ =  0.03125 solar lifetime

now convert the lifetime of star cluster into years

ζ = 0.03125 solar lifetime × (10¹⁰ years / 1 solar lifetime)

ζ = 312,500,000 ≈3.124 × 10⁸ years

therefore age of the cluster is 3.125 × 10⁸ years

if they have a finite resultant

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force