The radius Rh of a black hole is the radius of a mathematicalsphere, called the event horizon, that is centered on the blackhole. Information from events inside the event horizon cannotreach the outside world. According to Einstein’s general theory ofrelativity, Rh = 2GM/c2, where M is the mass of the black hole andc is the speed of light.Suppose that you wish to study a black hole near it, at a radialdistance of 50Rh. However, you do not want the difference in gravitationalacceleration between your feet and your head to exceed10 m/s2 when you are feet down (or head down) toward the blackhole. (a) As a multiple of our Sun’s mass MS, approximately what isthe limit to the mass of the black hole you can tolerate at the givenradial distance? (You need to estimate your height.) (b) Is the limitan upper limit (you can tolerate smaller masses) or a lower limit(you can tolerate larger masses)?
Stellar evolution
We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars do not exist forever they have a certain lifetime. The life span of the sun is about 10 billion years. The star undergoes various changes during its lifetime, this process is called stellar evolution. The structure of the sun-like star is shown below.
Red Shift
It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths (red) side.
The radius Rh of a black hole is the radius of a mathematical
sphere, called the event horizon, that is centered on the black
hole. Information from events inside the event horizon cannot
reach the outside world. According to
relativity
c is the
Suppose that you wish to study a black hole near it, at a radial
distance of 50Rh. However, you do not want the difference in gravitational
acceleration between your feet and your head to exceed
10 m/s2 when you are feet down (or head down) toward the black
hole. (a) As a multiple of our Sun’s mass MS, approximately what is
the limit to the mass of the black hole you can tolerate at the given
radial distance? (You need to estimate your height.) (b) Is the limit
an upper limit (you can tolerate smaller masses) or a lower limit
(you can tolerate larger masses)?
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