Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 33, Problem 62P
To determine
The diameter of the pupil.
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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.
A binary star system in the constellation Orion has an angular interstellar separation of 1.00 × 10–5 rad. If λ = 500 nm, what is the smallest diameter the telescope can have to just resolve the two stars?
A particular person's pupil is 4.5 mm in diameter, and the person's normal‑sighted eye is most sensitive at a wavelength of 552 nm. What is angular resolution ?R of the person's eye, in radians?
Chapter 33 Solutions
Physics for Scientists and Engineers
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- The angular resolution of a radio telescope is to be 0.100 when the incident waves have a wavelength of 3.00 mm. What minimum diameter is required for the telescopes receiving dish?arrow_forwardRadio telescopes are telescopes used for the detection of radio emission from space. Because radio waves have much longer wavelengths than visible light, the diameter of a radio telescope must be very large to provide good resolution. For example, the radio telescope in Penticton, BC in Canada, has a diameter of 26 m and can be operated at frequencies as high as 6.6 GHz. (a) What is the wavelength corresponding to this frequency? (b) What is the angular separation of two radio sources that can be resolved by this telescope? (c) Compare the telescope’s resolution with the angular size of the moon.arrow_forwardWhat diameter telescope (in m) would you need to observe Olympus Mons (624 km in diameter) from Earth at a wavelength of 550 nm when Mars is 3.35 ✕ 108 km away?arrow_forward
- A Michelson interferometer is used with red light of wavelength 632.8 nm and is adjusted for a path difference of 20 μm. Determine the angular radius of the a) first (smallest diameter) ring observed and b) the tenth ring observed.arrow_forwardPluto and its moon Nix are separated by 48700 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve these bodies when they are 6.40×10^9 km from Earth (neglecting atmospheric effects). Assume an average wavelength of 565 nm. To determine the answer, calculate the ratio of the telescope's angular resolution θT to the angular separation θPN of the celestial bodies.arrow_forwardQuestion 1 a)Calculate the resolving power of a Fabry-Perot interferometer made of re- flecting surfaces of reflectivity 0.85 and separated by a distance 1 mm at λ = 4880 ˚A. b. Calculate the minimum spacing between the plates of a Fabry?Perot interfer- ometer which will resolve two lines with ∆λ = 0.1 ˚Aat λ = 6000 ˚A. Assume the reflectivity to be 0.8. need both or else I will downvotearrow_forward
- Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil) at night is 0.78 cm and the length of the eye is 2.3 cm. Assume the wavelength of starlight in the eye is 500 nm. (1 nm -9 10 m) O a. 2.1E-3 m O b. 1.7E–9 m c. 3.6E–6 m d. 1.8E–6 m O e. 6.4E–7 marrow_forwardAn astronaut can barely resolve two objects on the earth’s surface, 170 km below. The diameter of the astronaut’s pupils is 5.0 mm, and the wavelength of the light is 550 nm. What is the minimum distance smin that separates the two objects? I have no clue how to solve for thisarrow_forwardYou want a telescope that discerns objects that are at least 5.10 * 10-7 radians apart. To achieve this resolution, determine what the diameter of the primary mirror must be if you are making observations at a wavelength of 583 nm. A binary star system is 41.3 ly away. the two stars would just barely be able to be discerned by your telescope. determine the minimum distance between the stars. ly = 9.461 *1015arrow_forward
- Your telescope has a diameter of D = 0.934 m. You use it to look at craters on the moon, which is L = 3.84e8 m away. Assuming you're observing with a wavelength of λ = 627 nm, what is the size (y) of the smallest crater you can resolve?arrow_forwardPlease answer both:The brightest star in the Pointers is α Centauri. It is actually a binary star, with two components known as α Cen A and α Cen B. They orbit each other for a period of about 80 years. At the moment they are separated by about 5 arcseconds in the sky. a) The average eye has a pupil diameter of 3mm, increasing to about 7mm at night. What is the theoretical best resolution for the human eye, at 500 nm? (Enter your answer in arc seconds, to the nearest whole number) b) Could you separate the two components with your naked eye (at 500 nm)?arrow_forwardThe human eye has a diameter of about 0.8 cm. Imagine that you are standing on the side of a flat road in the desert at night watching a car coming toward you. If the car's headlights are separated by 2 meters, will you see two headlights if the car is 5 km from you? Assume that your eye operates at a wavelength of 500 nm.arrow_forward
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