Question

The Schwarzschild radius is:

a. the radius of the event horizon of a black hole
b. the radius of the orbit of an object going around a black hole c. is independent of the mass of an object
d. smaller for increasing mass
e. all of the above
f. none of the above

Answer 1

The Schwarzschild radius is the radius of the event horizon of a black hole, where escape velocity equals the speed of light, and it increases with the mass of the black hole.

Step-by-step explanation:

The Schwarzschild radius is a. the radius of the event horizon of a black hole. It is the distance from the center of the black hole at which the escape velocity equals the speed of light, and thus, it represents the point of no return. Anything that passes within this radius, including light, cannot escape the black hole's gravitational pull. Contrary to some of the other choices provided in the question, the Schwarzschild radius does depend on the mass of the black hole and increases with increasing mass.

The formula to calculate the Schwarzschild radius (Rs) is given by Rs = 2GM/c2 where G is the universal gravitational constant, M is the mass of the black hole, and c is the speed of light. This demonstrates that the Schwarzschild radius is directly proportional to the mass of the black hole.