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 105 D' 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. :-(Pnew LGP new = D. LGP old 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 V ZGP old Plugging in for LGP, gives: ew Dnew = Dold And using the initial diameter, we can solve for the new diameter. Dnew m

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 105 D' 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. :-(Pnew LGP new = D. LGP old 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 V ZGP old Plugging in for LGP, gives: ew Dnew = Dold And using the initial diameter, we can solve for the new diameter. Dnew m

Horizons: Exploring the Universe (MindTap Course List)

14th Edition

ISBN:9781305960961

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter5: Light And Telescopes

Section: Chapter Questions

Problem 10P

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Similar questions

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