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12 Laser Round Disc Mirror Front Surface Mirror Silver Coated Thorlabs Lambda |  |
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Mirror Lambda
Two stars 17 light-years away are barely resolved by a 220 cm (mirror diameter) telescope.?
How far apart are the stars? Assume lambda = 550nm and that the resolution is limited by diffraction.
angular separation, 'theta' between stars = 1.22(lambda)/d or
theta = 1.22x550x10^-9/0.220 = 3.050x10^-6 rad
Hence separation between stars in light years = 17x3.050x10^-6
= 5.185 x10^-5 light year or 5.185x9.46x10^10 m = 4.9 x 10^9 m
(4.9 million kilometer)
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12 Laser Round Disc Mirror Front Surface Mirror Silver Coated Thorlabs Lambda | |
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US $129.99 | 28d 20h 52m |
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Nothing isn't Nothing [mirror]
What is the distance between 2 stars. Physics Problem.?
The Hubble Space Telescope has a mirror diameter of 2.4m . Suppose the telescope is used to photograph stars near the center of our galaxy, 30,000 light years away, using red light with a wavelength of 650nm .
a) What's the distance (in km ) between two stars that are marginally resolved? The resolution of a reflecting telescope is calculated exactly the same as for a refracting telescope.
b)For comparison, what is this distance as a multiple of the distance of Jupiter from the sun?
(D-jupiter)
Please help, I am so confused.
Attempt I used R=lambda/D and I got 2.708*10^-7
S=R*r = 2.708^-7 * 30,000 light years = .008125light years
In Km I got 5.60*10^10
5.6*10^10km is not the right answer. >_<
a. You use the equation
theta= 1.22 lambda / D which should give you 3.3*10^-7
Then you use your small angapproximationch says sin theta=tan theta=theta so
theta=Y/(30000 light years *9.4605284 × 10^12 kilometers) =9.4*10^10
b. You just divide part a by the average distance of jupiter to the sun(778,412,010)= 120
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