Kelvi

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would Earth (mass = $5.98 \times 10^{24}$ kg) have to be compressed to be a black hole?

hard

Gravitation

2014

physics

$10^{-9}$ m

$10^{-6}$ m

$10^{-2}$ m

$100$ m

Explanation

To solve this problem, we need to calculate the Schwarzschild radius, which is the radius at which an object becomes a black hole. $\\$ The formula for the Schwarzschild radius $(R_s)$ is given by: $\\ R_s = \frac{2GM}{c^2} \\$

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A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would Earth (mass = 5.98×1024 5.98 \times 10^{24} 5.98×1024 kg) have to be compressed to be a black hole?

Explanation

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A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would Earth (mass = $5.98 \times 10^{24}$ kg) have to be compressed to be a black hole?