If a neutron star has a radius of 9.12 km and a temperature of 3.63 x 106 K, how luminous is it in watts?How does its luminosity compare to the Sun (3.83 x 1026 w)?Lsun

Answered: If a neutron star has a radius of 9.12…

If a neutron star has a radius of 9.12 km and a temperature of 3.63 x 106 K, how luminous is it in watts? w How does its luminosity compare to the Sun (3.83 x 1026 w)? Lsun

Horizons: Exploring the Universe (MindTap Course List)

14th Edition

ISBN:9781305960961

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter11: Neutron Stars And Black Holes

Section: Chapter Questions

Problem 1P

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Concept explainers

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.

Question

If a neutron star has a radius of 9.12 km and a temperature of 3.63 x 106 K, how luminous is it in watts?
How does its luminosity compare to the Sun (3.83 x 1026 w)?
Lsun

Expert Solution

Step 1

$1) U \sin g s t e f a n' s l a w P = σ A T^{4} W h e r e P i s t h e p o w e r σ i s t h e s t e f a n' s c o n s \tan t A i s t h e a r e a o f s u r f a c e T i s t h e t e m p e r a t u r e o f t h e s u r f a c e P = 5.67 * 10^{- 8} * π * {(9120)}^{2} * {(3.63 * 10^{6})}^{4} P = 2.57 * 10^{27} W$

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