What are the spectral resolving power and the free spectral range of a Fabry-Perot interferometer with a plate separation d= 1 cm and a reflectivity of the mirrors R = 0.98?
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- A vehicle with headlights separated by 1.71 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. What aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 27.0 km?What is the angular resolution limit (degrees) set by diffraction for the 224-cmcm mirror diameter telescope (λλ=560 nmnm)?Pluto and its moon Charon are separated by 19600 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve these bodies when they are 5.40×109 km from Earth (neglecting atmospheric effects). Assume an average wavelength of 545 nm. To determine the answer, calculate the ratio of the telescope's angular resolution ?T to the angular separation ?PC of the celestial bodies.
- Find the minimum telescope aperture that could resolve an object with angular diameter 0.35 arcsecond, observed at 520-nm wave- length. (Note: 1 arcsec = 1/3600°.)Copper Kα1X-rays have a wavelength of 0.15406 nm. What is the interplanar spacing d, for the (200) planes in iron when the Bragg angle θ is 32.52 ̊ (assuming n=1, first-order diffraction)?In June 1985, a laser beam was sent out from the Air Force Optical Station on Maui, Hawaii, and reflected back from the shuttle Discovery as it sped by, 354 km overhead. The diameter of the central maximum of the beam at the shuttle position was said to be 9.1 m, and the beam wavelength was 550 nm. What is the effective diameter of the laser aperture at the Maui ground station? (Hint: A laser beam spreads only because of diffraction; assume a circular exit aperture. A. 0.232 m B. 0.199 m c. 0.047 m D. 0.052 m