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you want to create a telescope with a resolving power of 0.095 arc seconds at a wavelength of 550 nm. what diameter (in m) do you need?

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kayv22
To calculate the diameter of the telescope needed to achieve a resolving power of 0.095 arc seconds at a wavelength of 550 nm, we can use the formula:

Diameter = (1.22 * Wavelength) / Resolving Power

Plugging in the values, we get:

Diameter = (1.22 * 550 nm) / 0.095 arc seconds

Now, let's convert the wavelength from nanometers to meters:

550 nm = 550 * 10^(-9) m

Calculating the diameter:

Diameter = (1.22 * 550 * 10^(-9) m) / 0.095 arc seconds

The diameter of the telescope needed would be the result of this calculation.

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