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Telescope A has a diameter of 1.00 meters, while telescope B’s diameter is 9.00 meters. What is the ratio of the angular resolution of B to A when both are observing the same wavelength of light?

Respuesta :

Answer:

the ratio of resolution will be [tex]\frac{1}{9}[/tex]  

Explanation:

We have given the diameter of Telescope A is 1 meter

And diameter of telescope B is 6 meter

We know that resolution of telescope is inversely proportional to diameter of the telescope

So [tex]resolution\ \propto\frac{1}{diameter}[/tex]

We have to find the ratio of resolution of B to A

So [tex]\frac{\Delta \Theta _B}{\Delta \Theta _A}=\frac{D_A}{D_B}=\frac{1}{9}[/tex]

So the ratio of resolution will be [tex]\frac{1}{9}[/tex]  

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