Answer:
Two stars (a and b) can have the same luminosity, but different surface area and temperature if the following condition is met:
(T_a^4)(R_a^2) = (T_b^4)(R_b^2)
Explanation:
The luminosity of a star is the total energy that produces in one second. It depends on the size of the star and its surface temperature.
L = σ(T^4)(4πR^2)
L is the luminosity f the star, T is the temperature of the surface of the star and R is its radius.
Two stars can have the same luminosity if the relation between the radius and the surface temperature is maintained.
To see this lets suposed you have 2 stars, a and b, and the luminosities of each one of them:
L_a = σ(T_a^4)(4πR_a^2)
L_b = σ(T_b^4)(4πR_b^2)
you can assume that L_a and L_b are equal:
σ(T_a^4)(4πR_a^2) = σ(T_b^4)(4πR_b^2)
Now, you can cancel the constants:
(T_a^4)(R_a^2) = (T_b^4)(R_b^2)
as long as this relation between a and b is true, then the luminosity can be the same.
Answer:
To change a toponym of one place is not so easy to do. This process is usually connected to political changes in different parts of the world.
The toponym change is a sensitive topic, as the name of a place represents the symbol of that place, its identity, and ethnicity. One toponym is related to that place and to people from that place.
Explanation:
Also, when changing the toponym, people should take care of the new name, if it will be in a context of nationalism or internationalism. People connect te name of the place with the location of the place, so it is not easy to adopt a new name, as part of identity is fading.
If the toponym is changing, it has to fit the society, what is the meaning of that new toponym, is it related to the nation, the historical background of the toponym, etc. Those are elements that are influencing the acceptance of a new toponym.
Reason a is the correct one, as the european union has nothing to do with protection from invasions and Germany reunified many years ago.
The Mississippi river is the longest river in the USA
Its 2348 miles long