Question

Technological advances are now making it possible to link visible-light telescopes so that they can achieve the same angular resolution as a single telescope over 300 meters in size. Part A What is the angular resolution (diffraction limit) of such a system of telescopes for observations at a wavelength of 500 nanometers?

Answer 1

Answer: The angle of resolution =47.05°

Explanation:

The angle of resolution represents the resolve power and precision of optical instruments such as the eye, camera and e en a microscope. It is given by the equation:

Sin A = 1.220(W÷D)

Sin A= 1.220(300÷500)

Sin A = 1.220(0.6)

Sin A = 0.732

A= Sin^-1 0.732

A= 47.05°

Answer 2

Answer:

Explanation:

θ = 1.22 × (λ/D)

where,

θ is the angular resolution (radians) λ is the wavelength of light

= 500 nm

= 0.5 × 10^-6 m

D is the diameter of the lens' aperture.

= 300 m

θ = 1.22 × (0.5/300)

= 0.00203 arcsecond.