Question

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?

Answer 1

Answer:

the ratio of resolution will be $\frac{1}{9}$  

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 $resolution\ \propto\frac{1}{diameter}$

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

So $\frac{\Delta \Theta _B}{\Delta \Theta _A}=\frac{D_A}{D_B}=\frac{1}{9}$

So the ratio of resolution will be $\frac{1}{9}$