the ratio of brightness is 16:1
The main difference is brightness: a twelfth magnitude star is brighter than a fifteenth magnitude star. Magnitude is a logarithmic scale, so each step in magnitude represents a difference in brightness of about 2.5 times. This means a twelfth magnitude star is approximately 12.5 times brighter than a fifteenth magnitude star.
Use the equation Absolute magnitude=Apparent Magnitude+5 -(5x Log x Distance)
The brightness ratio of stars is typically expressed using a magnitude scale. The magnitude scale is a logarithmic scale that measures the brightness of celestial objects, including stars. The lower the magnitude value, the brighter the object. Conversely, higher magnitude values indicate fainter objects. The magnitude scale is defined such that a difference of 5 magnitudes corresponds to a brightness ratio of exactly 100. In other words, a star that is 5 magnitudes brighter than another star is 100 times brighter. Similarly, a star that is 10 magnitudes brighter is 100 x 100 = 10,000 times brighter, and so on. To find the brightness ratio (R) between two stars with different magnitude values (m1 and m2), you can use the following formula: R = 100^( (m2 - m1) / 5 ) Where: R = Brightness ratio between the two stars. m1 = Magnitude of the first star. m2 = Magnitude of the second star. For example, if Star A has a magnitude of 2 and Star B has a magnitude of 6, you can calculate the brightness ratio as follows: R = 100^( (6 - 2) / 5 ) R = 100^(4/5) R ≈ 2.511 So, Star B is approximately 2.511 times dimmer than Star A. It's important to note that the magnitude scale is relative, and negative magnitudes indicate exceptionally bright objects (e.g., the Sun, which has an apparent magnitude of approximately -26.74), while positive magnitudes represent progressively fainter objects. Additionally, the magnitude of a star can be influenced by various factors, such as distance, intrinsic brightness, and interstellar dust extinction.
The ratio of the magnitude of the electric force to the magnitude of the magnetic force in a given scenario is determined by the charge and velocity of the particles involved. This ratio is known as the electromagnetic force ratio.
No.
Magnitude is a number assigned to the ratio of some quality such as mass, brightness, etc., of two or more subjects. The number of magnitudes that the qualities of the subjects differ is specified as a power of 10, thus qualities are of the same order of magnitude if one is less than 10 times the other.
The apparent magnitude (m) of a celestial body is a measure of its brightness as seen by an observer on Earth, normalized to the value it would have in the absence of the atmosphere.The brighter the object appears, the lower the value of its magnitude.The variation in brightness between two luminous objects can be calculated by subtracting the magnitude number of the brighter object from the magnitude number of the fainter object, then using the difference as an exponent for the base number 2.512; that is to say (mf − mb = x; and 2.512x = variation in brightness).For example:What is the ratio in brightness between the Sun and the full moon?The apparent magnitude of the Sun is -26.73, and the apparent magnitude of the full moon is -12.6. The full moon is the fainter of the two objects, while the Sun is the brighter.Difference in magnitudex = mf - mbx = (-12.6) - (-26.73) = 14.13Variation in Brightnessvb = 2.512vb = 2.51214.13vb = 449,032.16variation in brightness = 449,032.16In terms of apparent magnitude, the Sun is more than 449,032 times brighter than the full moon.For more information [See Link]
Stars' brightness is measured by their magnitudes. There are first-magnitude stars which are the bright ones, down to 6th magnitude which is the faintest that can be seen with perfect eyesight on perfectly clear nights. Within that you can have stars with fractional magnitudes, for example magnitude 3.5 is half a magnitude fainter than magnitude 3. There are also negative magnitudes for the few brightest stars that are brighter than magnitude 0. The scale is logarithmic, with a difference of 5 magnitudes equal to a difference of 100 in brightness. Each magnitude is a ratio of 100^(1/5) which is equal to 2.512. Polaris has a magnitude of 2.02 and is less than a degree from being exactly in line with the Earth's north and south poles, which means when you look at it you are always facing north, to better than 1 degree.
The apparent magnitude of a star is a measure of its brightness as seen from Earth, the lower the number, the brighter a star is. Ex. a star that has an apparent magnitude of -20 is WAY brighter from Earth than a star with a apparent magnitude of 20.
Each difference of 1m corresponds to a factor of about 2.512 (to be precise, 100.4, or the fifth root of 100 - the scale is chosen in such a way that a difference of 5m corresponds to a factor of 100). Therefore, since in this example there is a difference of 3m, you calculate 2.512 to the power 3.
That ratio is called "Efficiency".
For historical reasons, the ratio of brightness that represents a change of 1 visual magnitude is defined as the 5th root of 100. So the ratio of brightness between two stars whose apparent visual magnitudes differ by 1 is 2.512 (rounded). The brighter star is 2.512 times as bright as the 'dimmer' one . A difference of 5 magnitudes is a difference of 100 times in brightness, which the difference between a 1st magnitude star and a 6th magnitude one.