The event horizon telescope needs a 22 micro-arcsecond resolution to view the event horizon regions around black holes. if the average wavelength is a 1.3 mm radio wave, (a) what is the diameter of the effective primary objective? (b) how can astronomers build a telescope this big? defend your answers.

14869817.395 m

Explanation:

=22 microarcsecond

λ = Wavelength = 1.3 mm

Converting to radians we get

From Rayleigh Criterion

Diameter of the effective primary objective is 14869817.395 m

It is not possible to build one telescope with a diameter of 14869817.395 m. But, we need this type of telescope. So, astronomers use an array of radio telescopes to achieve a virtual diameter in order to observe objects that are the size of supermassive black hole's event horizon.

when the velocity of a mass on a spring is zero, the acceleration is at a maximum .

probably not if net force is zero