Question

. If a telescope has a lens with a diameter of 60 cm, what is the shortest distance between two objects on the moon that the telescope can resolve? Use 3.84 x 108 m for the distance from the earth to the moon, and 550 nm for the wavelength of the light coming from the moon.

Answer 1

x = 429.33 m

Step-by-step explanation:

given,

diameter of telescope = 60 cm = 0.6 m

distance of moon form earth = 3.84 x 10⁸ m

wavelength of the light = 550 nm

shortest between the two object = ?

we know,

`\theta = (1.22\lambda)/(D)`

`\theta = (1.22* 550 * 10^(-9))/(0.6 m)`

θ = 1.12 x 10⁻⁶ rad/s

distance between two object will be equal to

x = d θ

x = 3.84 x 10⁸ x 1.12 x 10⁻⁶

x = 429.33 m