Answer :
Answer:
**a) Black holes can only be characterized by their mass, charge, and angular momentum.**
The "No-Hair Theorem" states that black holes can be completely characterized by only three observable properties: their mass, charge, and angular momentum. This theorem implies that all other information about the matter that formed the black hole or that has fallen into it is lost to an outside observer. The "hair" in the theorem metaphorically refers to additional distinguishing features or properties of the black hole, which the theorem asserts do not exist.
Here's why the other options are incorrect:
- **b) Black holes can emit radiation that contains information about the matter they have absorbed:** This is related to the information paradox, which suggests that information about the absorbed matter might be lost or preserved in some way, but it is not what the "No-Hair Theorem" states.
- **c) Black holes have a "hair" of additional quantum properties that vary with the matter they absorb:** This contradicts the "No-Hair Theorem," which asserts that black holes do not have such additional properties.
- **d) The exterior appearance of a black hole is dependent on the types of particles it has consumed:** According to the "No-Hair Theorem," the exterior appearance of a black hole (as seen from the outside) depends only on its mass, charge, and angular momentum, not on the types of particles or the details of the matter it has consumed.
Explanation:
