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Schwarzschild Radius
2,953.9938 m
Schwarzschild Radius vs Black Hole Mass
सूत्र
## Schwarzschild Radius The Schwarzschild radius defines the event horizon of a non-rotating black hole. ### Formula **r_s = 2 G M / c²** For a solar-mass black hole, r_s ≈ 2.95 km. The radius scales linearly with mass.
हल किया गया उदाहरण
A 1-solar-mass black hole (M = 1.989e30 kg).
- 01r_s = 2 G M / c²
- 022 × 6.674e-11 × 1.989e30 = 2.654e20
- 03c² = (2.998e8)² = 8.988e16
- 04r_s = 2.654e20 / 8.988e16 ≈ 2953 m ≈ 2.95 km
अक्सर पूछे जाने वाले प्रश्न
What is an event horizon?
The boundary around a black hole beyond which nothing, not even light, can escape. The Schwarzschild radius defines it for a non-rotating black hole.
How big is a supermassive black hole?
Sagittarius A* (4 million solar masses) has r_s ≈ 12 million km. M87* (6.5 billion solar masses) has r_s ≈ 19 billion km.
Can anything have a Schwarzschild radius?
Any mass has a computed Schwarzschild radius. Earth's would be about 9 mm. But the object must actually be compressed within that radius to form a black hole.