Two sources of light of wavelength 656 nm are separated by a horizontal distance

Question

Two sources of light of wavelength 656 nm are separated by a horizontal distance x. They are 4 m from a vertical slit of width 0.5 mm. What is the least value of x for which the diffraction pattern of the sources can be resolved by Rayleigh's criterion? 1) The diameter of a radio telescope is 256 m. What is the smallest angular separation of two objects that this telescope can detect when it is tuned to detect microwaves of 4.9 cm wavelength? 1) Regulations require that licensed radio stations have limits on their broadcast power so as to avoid interference with signals from distant stations. You are in charge of checking compliance with the law. At a distance of 30 km from a radio station that broadcasts from a single vertical electric dipole antenna at a frequency of 978 kHz, the intensity of the electromagnetic wave is 2 x 10'13 W/m2. What is the total power radiated by the station? 1) A horizontal 4.9 mW laser beam that is vertically polarized is incident on a polarizing sheet that is oriented with its transmission axis vertical. Behind the first sheet is a second sheet that is oriented so that its transmission axis makes an angle of 23" with respect to vertical. What is the power of the beam transmitted through the second sheet?

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