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.
