How large is the Schwarzschild radius of a black hole that is 15 times more massive than the Sun? a) 150 km b) 45 km c) 67.5 km d) 30 km

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asked May 21, 2024 20.9k views

1 Answer

Swaechter · Answer 1 · 2024-05-28T05:02:12+0000

The Schwarzschild radius of a black hole that is 15 times more massive than the Sun is 67.5 km.

The Schwarzschild radius of a black hole is given by the equation:

Rs = 2GM / c2

Where Rs is the Schwarzschild radius, G is the gravitational constant, M is the mass of the black hole, and c is the speed of light.

To find the Schwarzschild radius of a black hole that is 15 times more massive than the Sun, we can use the equation:

Rs = 2(6.67 x 10-11 Nm2/kg2)(15 x (1.99 x 1030 kg)) / (3 x 108 m/s)2

Calculating this equation gives us 67.5 km.