The 300-m-diameter Arecibo radio telescope detects radio waves with a 4.00 cm averagewavelength.(a) What is the angle between two just-resolvable pointsources for this telescope? (b) How close together could these point sources be at the 2million light year distance of the Andromeda galaxy?

The diameter of the Arecibo radio telescope is 307 m. It can image radio source that emit electromagnetic waves with wavelength between 3 cm and 1 m. The Virgo Cluster is a cluster of galaxies whose center is ~53.8 Mly away from us. Assume the telescope is imaging at a wavelength of 63.3 cm and can just resolve two point sources of radio waves in the Virgo cluster. How close together could these point sources be, i.e. what is the minim distance between them in ly? Enter an integer.

You wish to study the radio emission from the sun at wavelength 1.70 cm. In order to see details on the sun’s surface no larger than the diameter of the earth, the limit of resolution of the telescope must be 9.00 x 10-5 rad (about 0.005°). Using the Rayleigh criterion, find (a) the minimum diameter your radio telescope must have and (b) the limit of resolution of this telescope at wavelength 21.1 cm.

You have decided to increase the detection range of your iphone14 with a highgain, directional parabolic dish antenna to be able to access more distant cell towers (somewhat more difficult to get into your pocket or purse, however). A 3m-diameter parabolic dish is readily available commercially, and the desired sinusoidal radio signal specification is for Emax = 0.10 µV/m. Assume the antenna absorbs all the radiation that is captured by the dish (100% efficiency): (a)  What is the amplitude of the magnetic field in this signal? (b)  What is the intensity, I, of the radiation received by the antenna? (c) What is the power received by the antenna?

A spherical power light source of (7.566x10^1) watts is (6.1000x10^-1) metres from a photodiode detector of area (4.70x10^-1) cm². Find the power at the detector, in watts, to 3 sf. Hint find the intensity of the wave at the detector first.

OTS tutorial (a) Explain the origin of the transverse phase condition that results in the equation for a slab waveguide given below (b) (c) (d) (1) 2nd√/n²-n² 20 = mл+Sp Explain what happens if this condition is not satisfied? Ignoring the G-H shift term, rearrange this equation for n For a waveguide at a wavelength of 1.55um, a core index of 3.5 and a thickness of 2um, work out the effective indices for m= 1, 2, 3 and 4 What happens to the modal index as the m number increases? Why? Explain why the mode effective index for the m-1 is not 3.5