An astronomical refracting telescope at a university observatory has an objective lens with a diameter of 400 mm400\text{ mm}400 mm and a focal length of 6.00 m6.00\text{ m}6.00 m.
Calculate the wavelength of light for which this telescope has a minimum angular resolution of 1.25×10−6 rad1.25 \times 10^{-6}\text{ rad}1.25×10−6 rad.
The telescope is used to observe two features on the Moon's surface which subtend an angle of 1.25×10−6 rad1.25 \times 10^{-6}\text{ rad}1.25×10−6 rad at the unaided eye. A typical human eye has a minimum angular resolution of approximately 3.0×10−4 rad3.0 \times 10^{-4}\text{ rad}3.0×10−4 rad. Calculate the focal length of the eyepiece lens required so that an observer can just resolve the two features when looking through this telescope.
The bowl-shaped lunar crater Linné has a diameter of 2.2 km2.2\text{ km}2.2 km. The average distance from the Earth to the Moon is 3.8×105 km3.8 \times 10^5\text{ km}3.8×105 km. The telescope is used to view Linné using the eyepiece calculated in part (b). Deduce whether this telescope is suitable to obtain a detailed view of the crater's internal structure. Support your answer with a calculation.
