The 305 m diameter Arecibo radio telescope detects radio waves with wavelengths from 3 to 100 cm. What is the angle in radians between two just-resolvable 15.0 cm wavelength point sources for this telescope? angle: rad How close together could these point sources be at the 1.44 million light year distance of the Phoenix Dwarf galaxy (P 6830)?

Two radio antennas separated by d = 284 m, as shown in the figure below, simultaneously broadcast identical signals at the same wavelength. A car travels due north along a straight line at position  x = 1,100 m  from the center point between the antennas, and its radio receives the signals. Hint: Do not use the small-angle approximation in this problem. Two antennas, one directly above the other, are separated by a distance d. A horizontal dashed line begins at the midpoint between the antennas and extends to the right. A point labeled O is a horizontal distance x from the line's left end. A car is shown to be a distance y directly above point O. An arrow extends from the car, indicating its direction of motion, and points toward the top of the page. (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance of  y = 400 m  northward, what is the wavelength of the signals? m(b) How much farther must the car travel to encounter the next…

Determine the maximum distance at which an observer can still distinguish two small bright sources 12.5 mm apart emitting the light of  452 nm, given that the eye pupil size is around 4.0 mm. Give your answer in SI units.

answer please