The Schwarzschild radius for a given black hole defines a sphere, from which escape is impossible, even for light. It is given by Rs = 2GM c² Show that this can be written in terms of the mass of the Sun as Rs ≈ 2.95 ; (M): 1. Suppose that the Sun became a black hole. What would its Schwarzschild radius be? 2. What would the Schwarzschild radius be for Betelgeuse, whose mass is about 10 times the solar mass? km.
The Schwarzschild radius for a given black hole defines a sphere, from which escape is impossible, even for light. It is given by Rs = 2GM c² Show that this can be written in terms of the mass of the Sun as Rs ≈ 2.95 ; (M): 1. Suppose that the Sun became a black hole. What would its Schwarzschild radius be? 2. What would the Schwarzschild radius be for Betelgeuse, whose mass is about 10 times the solar mass? km.
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The Schwarzschild radius
Transcribed Image Text:The Schwarzschild radius for a given black hole defines a sphere, from which escape is impossible,
even for light. It is given by
2GM
Rs =
Show that this can be written in terms of the mass of the Sun as
Rs 2.95
جماع
5 (M) k²
1. Suppose that the Sun became a black hole. What would its Schwarzschild radius be?
2. What would the Schwarzschild radius be for Betelgeuse, whose mass is about 10 times the solar mass?
km.
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