Question

Two stars 15 light-years away are barely resolved by a 75 cmcm (mirror diameter) telescope. 1ly=9.461×10^15...

Two stars 15 light-years away are barely resolved by a 75 cmcm (mirror diameter) telescope. 1ly=9.461×10^15 m

How far apart are the stars? Assume λλ = 550 nm and that the resolution is limited by diffraction.

Express your answer to two significant figures and include the appropriate units.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

This is based on Rayleigh criteria

= 1.22 / D

where D is mirror diameter

= 1.22 * 550e-9 / 0.75

= 8.946e-7 radians

The distance 'd' between two objects a distance x away and separated by an angle is d = x

so,

d = 15 * 9.461e15 * 8.946e-7

d = 1.27e11 meters

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two stars 12 light-years away are barely resolved by a 220cm (mirror diameter) telescope. How far...
Two stars 12 light-years away are barely resolved by a 220cm (mirror diameter) telescope. How far apart are the stars in meters? Assume ?=550nm and that the resolution is limited by diffraction. Express your answer using two significant figures.
Two stars located 30 light-years from Earth are barely resolved using a reflecting telescope having a...
Two stars located 30 light-years from Earth are barely resolved using a reflecting telescope having a mirror of diameter 76 cm. Assuming λ = 600 nm and assuming that the resolution is limited only by diffraction, find the separation between the stars.
(a) What is the angular separation of two stars if their images are barely resolved by...
(a) What is the angular separation of two stars if their images are barely resolved by a refracting telescope with a lens diameter of 94 cm and a focal length of 14 m. Assume ? = 550 nm. (b) Find the distance between these barely resolved stars if each of them is 8.7 light-years distant from Earth. (c) For the image of a single star in this telescope, find the diameter of the first dark ring in the diffraction pattern...
a) The Mount Palomar telescope has an objective mirror with a 508 cm diameter. Determine its...
a) The Mount Palomar telescope has an objective mirror with a 508 cm diameter. Determine its angular limit of resolution at a wavelength of 550 nm (in radiants and degrees). (Recall that you can resolve two objects only if the maxima of their images are separated by at least the radius of the first dark fringe of each image’s Airy disk). b) How far apart must two objects be on the surface of the Moon if they are to be...
(a) Take the diameter of the pupil of Cyclops’s eye to be 6.5 mm, and calculate...
(a) Take the diameter of the pupil of Cyclops’s eye to be 6.5 mm, and calculate the resolution angle Theta = 1.22 Lamda/ D (rad) for light of wavelength 550 nm. For two point-objects to be resolvable with light of this wavelength, how far apart must they be (i) at distance 100 m? (ii) on the moon, 400,000 km away? (b) How far apart must they be on the moon to be resolvable with a telescope mirror of diameter 6.5...
The Hubble Space Telescope (HST) has excellent resolving power because there is no atmospheric distortion of...
The Hubble Space Telescope (HST) has excellent resolving power because there is no atmospheric distortion of the light. Its 2.40 m diameter primary mirror can collect light from distant galaxies that formed early in the history of the universe. How far apart can two star clusters be from each other if they are 21.2 billion lightyears away from Earth and are barely resolved by the HST using visible light with a wavelength of 414 nm?
2. If 725-nm and 650-nm light passes through two slits 0.63 mm apart, how far apart...
2. If 725-nm and 650-nm light passes through two slits 0.63 mm apart, how far apart are the second-order fringes for these two wavelengths on a screen 1.3 m away? Express your answer to two significant figures and include the appropriate units 7. A single slit 1.1 mm wide is illuminated by 420nm light. What is the width of the central maximum (in cm ) in the diffraction pattern on a screen 3.0 mm away? Express your answer using two...
A converging lens 7.70 cm in diameter has a focal length of 320 mm . Part...
A converging lens 7.70 cm in diameter has a focal length of 320 mm . Part A If the resolution is diffraction limited, how far away can an object be if points on it transversely 3.90 mm apart are to be resolved (according to Rayleigh's criterion) by means of light of wavelength 510 nm ? IN METERS
32.5: The primary mirror of the Hubble Space Telescope is 2.4 m in diameter. Suppose it...
32.5: The primary mirror of the Hubble Space Telescope is 2.4 m in diameter. Suppose it is most sensitive to light of wavelength of 820 nm.    a) What is the diffraction limited angular resolution of the Hubble Space Telescope?    b) If the HST were used to look at the surface of the Moon, what is the minimum distance between two distinguishable points? (The Moon orbits at a distance of 384000 km from the center of the Earth which...
2. Treat each of your eyes as a circular aperture of diameter 3.5 mm. Light of...
2. Treat each of your eyes as a circular aperture of diameter 3.5 mm. Light of wavelength 625 nm is used to view two point sources that are 10.5 cm apart. How far distance can these sources be and still be marginally resolved by your eye? Assume that the resolution is diffraction limited and use Rayleigh's criterion, and the index of refraction of the fluid in the eye is 1.35. 3. A Michelson interferometer uses light with a wavelength of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT