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:
A prolonged drought with very high temperatures can affect the water levels of the water table underground.
Explanation:
The water that is located underground is generally safer when it comes to climate or weather conditions, at least in the shorter run. They are not immune though, as even though they are underground, they are not very deep, and also their levels depend on the outside conditions. Several climate or weather conditions can have an effect on the water table of the underground water, but the one that sticks out the most is a prolonged drought with high temperatures.
A prolonged period of drought will mean that there will be no precipitation for a long period of time. Without precipitation, there will be no new water coming in the undergroung water table. On the other hand, high temperatures will result in intense heating up of the ground, and some of the heat will be reaching the water table underground, so the evaporation will increase. With no water coming in and increased evaporation, the levels of water will drop.
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5.972 × 10^24 kg is the correct answer
