Answer:
it is very hard question for me sorry i cant solve it
Astronomers find white dwarfs that distinguish them from main sequence stars because white dwarfs get really hot, we can search for their ultraviolet radiation.
<h3>What is a white dwarf?</h3>
A white dwarf is a very hot star that radiated much energy in the form of ultraviolet radiation.
This UV radiation is initially very bright and then these stars become red with time.
In conclusion, Astronomers find white dwarfs they can search for their ultraviolet radiation.
Learn more about white dwarfs here:
brainly.com/question/19602278
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Complete Question
Due to blurring caused by atmospheric distortion, the best resolution that can be obtained by a normal, earth-based, visible-light telescope is about 0.3 arcsecond (there are 60 arcminutes in a degree and 60 arcseconds in an arcminute).Using Rayleigh's criterion, calculate the diameter of an earth-based telescope that gives this resolution with 700 nm light
Answer:
The diameter is
Explanation:
From the question we are told that
The best resolution is ![\theta = 0.3 \ arcsecond](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%200.3%20%5C%20%20arcsecond)
The wavelength is ![\lambda = 700 \ nm = 700 *10^{-9 } \ m](https://tex.z-dn.net/?f=%5Clambda%20%20%3D%20%20700%20%5C%20%20nm%20%3D%20%20700%20%2A10%5E%7B-9%20%7D%20%5C%20%20m)
Generally the
1 arcminute = > 60 arcseconds
=> x arcminute => 0.3 arcsecond
So
![x = \frac{0.3}{60 }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B0.3%7D%7B60%20%7D)
=> ![x = 0.005 \ arcminutes](https://tex.z-dn.net/?f=x%20%3D%200.005%20%5C%20%20arcminutes)
Now
60 arcminutes => 1 degree
0.005 arcminutes = > z degrees
=> ![z = \frac{0.005}{60 }](https://tex.z-dn.net/?f=z%20%3D%20%20%5Cfrac%7B0.005%7D%7B60%20%7D)
=> ![z = 8.333 *10^{-5} \ degree](https://tex.z-dn.net/?f=z%20%3D%20%208.333%20%2A10%5E%7B-5%7D%20%20%5C%20degree)
Converting to radian
![\theta = z = 8.333 *10^{-5} * 0.01745 = 1.454 *10^{-6} \ radian](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20z%20%3D%20%208.333%20%2A10%5E%7B-5%7D%20%20%2A%200.01745%20%3D%201.454%20%2A10%5E%7B-6%7D%20%5C%20%20radian)
Generally the resolution is mathematically represented as
![\theta = \frac{1.22 * \lambda }{ D}](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20%5Cfrac%7B1.22%20%2A%20%20%5Clambda%20%20%7D%7B%20D%7D)
=> ![D = \frac{1.22 * \lambda }{\theta }](https://tex.z-dn.net/?f=D%20%3D%20%20%5Cfrac%7B1.22%20%2A%20%5Clambda%20%7D%7B%5Ctheta%20%7D)
=>
=>