Because the 2cm lens has 4 times the area of a 1cm lens.
(area = Pi*r2)
The length of a radius is not the length of a diameter. The diameter is two times the length of the radius.
Circumference is equal to 2 times pi (3.1416) times one half of the diameter (the radius). So, if the diameter is 2 cm, then the circumference would be the product of (2) times (3.1416) times (1), or 6.2832 cm. Circumference is equal to diameter times Pi. c = Pi * d diameter times pi
Because 2 times the radius is equal to the diameter of the circle
circumference
No; circumference divided by diameter equals pi.
Four telescopes with 8m diameter each can gather as much light as one with 16m diameter because they can be combined using interferometry techniques to effectively act as a single telescope with the equivalent light-gathering area. By correlating the signals from the individual telescopes, the resolution and sensitivity can be increased as if they were a single larger telescope.
Just like any antenna used to collect electromagnetic energy at any other frequency, the 'gain' is proportional to the antenna's area. Since the area varies as the square of the collector's diameter, doubling the diameter increases the gain by a factor of 22 = 4. The corresponding increase in gain is 6 dB.
The light gathering power of a telescope is proportional to the square of its diameter. Therefore, the light gathering power ratio between a 1 meter telescope and a 10 meter telescope would be (10/1)^2 = 100. This means that the 10 meter telescope would gather 100 times more light than the 1 meter telescope.
About 1.92 times as much. (rounded) The so-called "light gathering power" varies in proportion to the area of the objective lens or mirror, which in turn varies as the square of its diameter. (36 inches/26 inches)2 = 1.9172 = about 2.83 dB
It will become 9 times as great.
9 times greater.
The light-gathering power of a telescope is directly proportional to the area of its objective lens. The area of a circle is calculated using the formula A = πr^2, where r is the radius of the lens. For a 50 cm lens, the radius is 25 cm, so the area would be A = π(25)^2 = 625π square cm. For a 25 cm lens, the area would be A = π(12.5)^2 = 156.25π square cm. Therefore, the telescope with the 50 cm objective lens would have approximately 4 times the light-gathering power of the telescope with the 25 cm objective lens.
-- I don't know anything about your spyglass, but I'm going to assume thatthe diameter of the lens on the front of it is 1 inch.-- The diameter of the objective lens on the front of the main refractor at theYerkes Observatory in Williams Bay WI is 40 inches.-- The so-called 'light-gathering power' of a telescope is proportional to thearea of its objective, which is the same as saying the square of its radius. Sothe ratio of Yerkes' collecting area to that of your spyglass is(40)2 / (1)2 = (40/1)2 = 1,600 times, or 32 dB more.
Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.
The primary mirrors of each of the two telescopes are 10 meters (33 ft) in diameter. A human eye has a pupil less than 8mm in diameter. The area of a Keck mirror is about 1,6 million times larger than that of the human pupil. (The sensors used are more sensitive too able to detect single photons).
For example, the Sun is roughly 109 times the diameter of Earth; and about 10 times the diameter of Jupiter. The volume (for the simplifying assumption of perfect spheres) is proportional to the third power of the diameter.
For example, the Sun is roughly 109 times the diameter of Earth; and about 10 times the diameter of Jupiter. The volume (for the simplifying assumption of perfect spheres) is proportional to the third power of the diameter.