2.15 Hawking Radiation - World Science U

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2.15 Hawking Radiation

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Question 1 of 4

1. Question
Why did the equation $A_{12}>\ A_{1} + A_{2}$ remind Bekenstein of entropy?
- Entropy and areas have similar features so entropy must apply to black holes
- Areas are not additive with regard to entropy in the same way as black holes
- Entropy increases over time in the same way the areas of black holes increase
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Question 2 of 4

2. Question
What was the disagreement between Einstein's equations and Hawking's regarding black holes? (check all that apply)
- Einstein's equations said that the areas of black holes do not add such that $A_{12}>\ A_{1} + A_{2}$ , whereas Hawking said they are equal
- Hawking said that microstates must exist, and Einstein's equations said they only have one microstate
- Einstein's equations said nothing can escape a black hole, and Hawking said that black holes give off radiation
- Hawking said that microstates grow exponentially with area, whereas Einstein's equations predict they grow geometrically
- There were no disagreements, Hawking proved Einstein's equations are correct through studying black holes
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Question 3 of 4

3. Question
If $A_{12}>\ A_{1} + A_{2}$ , then does it follow that $N_{12}>\ N_{1} + N_{2}$ is true as well?
- Yes
- No
- It depends
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Question 4 of 4

4. Question
As the mass of a black hole increases, the temperature ...
- Increases
- Decreases
- Stays the same
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