Question

The Hale Telescope on Palomar Mountain in California has a mirror 200 in. (5.08 m) in diameter and it focuses visible light. A)Given that a large sunspot is about 10,000 mi in diameter, what is the most distant star on which this telescope could resolve a sunspot to see whether other stars have them? (Assume optimal viewing conditions, so that the resolution is diffraction limited.)

Answer 1

The distance is
`9.57*10^(13)\ m`

Step-by-step explanation:

Given that,

Diameter of telescope d= 5.08 m

Diameter of sun spot y= 10000 mi

`y =1609.3*10^(4)\ m`

We need to calculate the distance

Using formula of distance

`y =(1.22\lambda D)/(d)`

`D=(d y)/(1.22*\lambda)`

Put the value into the formula

`D=(5.08*1609.3*10^(4))/(1.22*700*10^(-9))`

`D=9.57*10^(13)\ m`

Hence, The distance is
`9.57*10^(13)\ m`