You want to create a telescope with a resolving power of 0.100 arc seconds at a wavelength of 550 nm. What diameter (in m) do you need? If you want to increase the light gathering power by a factor of 10, by what factor does the diameter need to increase? What would the new resolving power be (in arc seconds)? Part 1 of 5 The resolving power of a telescope is given by a = 2.06 x 10° where both A and D must have the same units. Part 2 of 5 We need to solve this expression for the diameter. You should express your values in meters. 0.00000055 5.50e-07 m D = 2.06 x 105 0.100 arc seconds D = 1.133 1.13 m Part 3 of 5 The light gathering power of a telescope depends on the diameter squared. LGP new =(Onew D LGPld old Part 4 of 5 If we want to increase the light gathering power by a factor of 10, we need the new telescope to have 10 times the light-gathering power of the original. LGP new LGP old Rearranging the equation for light-gathering power to solve for Dnew LGP new Dold Dnew = LGP old Plugging in for LGP, new gives: Dnew = Dold And using the initial diameter, we can solve for the new diameter. Dnew

You want to create a telescope with a resolving power of 0.100 arc seconds at a wavelength of 550 nm. What diameter (in m) do you need? If you want to increase the light gathering power by a factor of 10, by what factor does the diameter need to increase? What would the new resolving power be (in arc seconds)? Part 1 of 5 The resolving power of a telescope is given by a = 2.06 x 10° where both A and D must have the same units. Part 2 of 5 We need to solve this expression for the diameter. You should express your values in meters. 0.00000055 5.50e-07 m D = 2.06 x 105 0.100 arc seconds D = 1.133 1.13 m Part 3 of 5 The light gathering power of a telescope depends on the diameter squared. LGP new =(Onew D LGPld old Part 4 of 5 If we want to increase the light gathering power by a factor of 10, we need the new telescope to have 10 times the light-gathering power of the original. LGP new LGP old Rearranging the equation for light-gathering power to solve for Dnew LGP new Dold Dnew = LGP old Plugging in for LGP, new gives: Dnew = Dold And using the initial diameter, we can solve for the new diameter. Dnew

Astronomy

1st Edition

ISBN:9781938168284

Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Chapter6: Astronomical Instruments

Section: Chapter Questions

Problem 21E: The largest observatory complex in the world is on Mauna Kea, the tallest mountain on Earth. What...

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