Answer:
The distance is [tex]9.57\times10^{13}\ m[/tex]
Explanation:
Given that,
Diameter of telescope d= 5.08 m
Diameter of sun spot y= 10000 mi
[tex]y =1609.3\times10^{4}\ m[/tex]
We need to calculate the distance
Using formula of distance
[tex]y =\dfrac{1.22\lambda D}{d}[/tex]
[tex]D=\dfrac{d y}{1.22\times\lambda}[/tex]
Put the value into the formula
[tex]D=\dfrac{5.08\times1609.3\times10^{4}}{1.22\times700\times10^{-9}}[/tex]
[tex]D=9.57\times10^{13}\ m[/tex]
Hence, The distance is [tex]9.57\times10^{13}\ m[/tex]
