1.(a) The Mount palomar telescope has an objective mirror with a 508-em diameter.Deteermine its Anugular limit of resolution at a wavelength of 550 nm in radians,digrees and seconds of arc. How Far apart must two objects be on the surface of the Moon if they are to be resolvable by the palomar telescope? The Earth-Moon distance is 3.844 x 3 08 m; take AO = 550 nm. How far apart must two objects be on the Moon if they are to be distinguished by the eye? Assume a pupil diameter of 4.00mm.(5pts) (b) A transmission grating whose lines are separated by 3.0x 10-6 m is illuininated by a narrow beam Of red light (A0 = 694.3 nm) from a ruby laser.sports of diffracted light,on both sides of the undefeated beam, appear on a screen 2.0m away. How far from the central axis is each of the two nearest spots?(5pts) (c) A diffraction grating with slits 0.60 x 103 cm aparts is illuminated by light with a wavelength of 500 nm.At what angle will the third-order maximum appear?(2pts) (d) A diffraction grating produces a second-order spectrum of yellow light (10 = 550 nm) at 25'.Determine the spacing between the lines on the grating.(2pts)