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Features of the h–r diagram

Following Hertzsprung and Russell, let us plot the temperature (or spectral class) of a selected group of nearby stars against their luminosity and see what we find ( [link] ). Such a plot is frequently called the Hertzsprung–Russell diagram , abbreviated H–R diagram    . It is one of the most important and widely used diagrams in astronomy, with applications that extend far beyond the purposes for which it was originally developed more than a century ago.

H–r diagram for a selected sample of stars.

An H–R Diagram for a Selected Sample of Stars. In this graph the vertical axis is labeled “Luminosity (LSun)”, running from 10-4 to 104 in increments of 102. The horizontal axis is labeled “Spectral class”, and is divided into seven equal length units. From left to right they are labeled “O”, “B”, “A”, “F”, “G”, “K” and “M”. The horizontal axis is also labeled “Temperature (K)”, running from 25,000 on the left to 3,000 on the right. The background of the graph is colored to represent temperature. The O-B section is blue, the A and most of F is green, G is yellow and the K-M section is red. The stars plotted in the diagram fall into four distinct groups. At lower left between spectral types A and F are the “White Dwarfs”. Running diagonally across the entire diagram from upper left to lower right is the “Main Sequence”, where most stars lie. The “Giants” lie on a horizontal line at 102 L(Sun) between spectral types G and M. The “Supergiants” are in the upper right. Many well-known stars are plotted in this diagram. The “Companion of Sirius” is among the white dwarfs. Along the main sequence, from left to right, are ”Spica”, “Vega”, “Sirius”, “Procyon”, “Alpha Centauri A”, “Sun”, “Tau Ceti”, “Barnard’s Star” and “Proxima Centauri”. Along the giant branch from left to right we find “Capella”, “Arcturus” and “Aldebaran”. Finally, the supergiants from left to right, “Rigel”, “Canopus”, “Betelgeuse” and “Antares”.
In such diagrams, luminosity is plotted along the vertical axis. Along the horizontal axis, we can plot either temperature or spectral type (also sometimes called spectral class). Several of the brightest stars are identified by name. Most stars fall on the main sequence.

It is customary to plot H–R diagrams in such a way that temperature increases toward the left and luminosity toward the top. Notice the similarity to our plot of height and weight for people ( [link] ). Stars, like people, are not distributed over the diagram at random, as they would be if they exhibited all combinations of luminosity and temperature. Instead, we see that the stars cluster into certain parts of the H–R diagram. The great majority are aligned along a narrow sequence running from the upper left (hot, highly luminous) to the lower right (cool, less luminous). This band of points is called the main sequence    . It represents a relationship between temperature and luminosity that is followed by most stars. We can summarize this relationship by saying that hotter stars are more luminous than cooler ones.

A number of stars, however, lie above the main sequence on the H–R diagram, in the upper-right region, where stars have low temperature and high luminosity. How can a star be at once cool, meaning each square meter on the star does not put out all that much energy, and yet very luminous? The only way is for the star to be enormous—to have so many square meters on its surface that the total energy output is still large. These stars must be giants or supergiants , the stars of huge diameter we discussed earlier.

There are also some stars in the lower-left corner of the diagram, which have high temperature and low luminosity. If they have high surface temperatures, each square meter on that star puts out a lot of energy. How then can the overall star be dim? It must be that it has a very small total surface area; such stars are known as white dwarfs (white because, at these high temperatures, the colors of the electromagnetic radiation that they emit blend together to make them look bluish-white). We will say more about these puzzling objects in a moment. [link] is a schematic H–R diagram for a large sample of stars, drawn to make the different types more apparent.

Schematic h–r diagram for many stars.

Schematic H–R Diagram for Many Stars. In this graph the vertical axis is labeled “Luminosity (LSun)”, running from 10-4 to 106 in increments of 102. The horizontal axis is labeled “Spectral class”, and is divided into seven equal length units. From left to right they are labeled “O”, “B”, “A”, “F”, “G”, “K” and “M”. The horizontal axis is also labeled “Temperature (K)”, running from 25,000 on the left to 3,000 on the right. The five main classes of stars are plotted. Beginning at lower left is an isolated group of stars labeled “White Dwarfs”. The majority of stars lie on the “Main Sequence”, which runs diagonally from upper left to lower right. The lower right part of the main sequence is labeled “Red dwarfs”. Running horizontally from the center of the graph to the right is the narrow band of “Red giants”. Finally, a small number of stars running horizontally across the entire top of the graph are the “Supergiants”.
Ninety percent of all stars on such a diagram fall along a narrow band called the main sequence. A minority of stars are found in the upper right; they are both cool (and hence red) and bright, and must be giants. Some stars fall in the lower left of the diagram; they are both hot and dim, and must be white dwarfs.

Questions & Answers

what does the ideal gas law states
Joy Reply
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
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Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
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8m/s²
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What is Thermodynamics
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50 m/s due south east
Someone
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Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
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Source:  OpenStax, Astronomy. OpenStax CNX. Apr 12, 2017 Download for free at http://cnx.org/content/col11992/1.13
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