Calculate the gravitational redshift caused by the TON 618 black hole at a distance of 1.2 Rs.
Calculate the gravitational redshift caused by the TON 618 black hole at a distance of 1.2 Rs.
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Transcribed Image Text:**Question**: Calculate the gravitational redshift caused by the TON 618 black hole at a distance of 1.2 Rₛ.
**Explanation**: This problem involves understanding gravitational redshift, which occurs when light or other electromagnetic radiation from an object is increased in wavelength, or shifted to the red end of the spectrum, by the effects of gravitation. The calculation is to be made considering a specific distance from TON 618, a supermassive black hole. The distance given is 1.2 Rₛ, where Rₛ refers to the Schwarzschild radius, a measure of the size of the event horizon of a black hole.
Expert Solution
Concept and Principle:
- As per the theory of general relativity, gravity is capable of affecting the frequency of the photon.
- When a photon moves out of a gravitational well of a massive object it should spend some energy. Since the photon should travel at the speed of light the frequency decreases. Similarly, when a photon is moving into a gravitational well its frequency will increase.
- Redshift takes place when a photon is moving out of the well. When frequency reduces the wavelength will increase shifting it to the red region. The gravitational redshift is given by,
Here G is the universal gravitational constant, M is the mass of the gravitational source, r is the distance, and c is the speed of light.
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