Explanation Given info: The given diffraction arrangements are (i) a radio telescope 100 m in diameter observing at a wavelength of 21 cm ; (ii) an optical telescope 2.0 m in diameter observing at a wavelength 500 nm ; (iii) an ultraviolet telescope 1.0 m diameter observing at a wavelength of 100 nm ; (iv) an infrared telescope 2.0 m in diameter observing at a wavelength of 10 μm . Write the expression for the diffraction angle by a circular aperture. sin θ 1 = 1.22 λ D Here, θ 1 is the angular radius of the first maximum λ is the wavelength of light D is the diameter of the aperture Combining this expression with the Rayleigh’s criterion for resolution shows that, the resolving power of a telescope increases as the ratio λ / D decreases. Determining the value of λ / D and arranging them in order of lowest to highest gives the order of ability of the telescopes to resolve small details, from best to worst. Substitute 100 nm for λ and 21 cm for D to find the value of λ / D for the telescope (i). λ D = 21 cm 100 m = 21 cm × 10 − 2 m 1 m 100 m = 2.1 × 10 − 3 Substitute 500 nm for λ and 2.0 m for D to find the value of λ / D for the telescope (ii). λ D = 500 nm 2

University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)

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ISBN: 9780134308142

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Chapter 36.7, Problem 36.7TYU

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To arrange: The given proposed telescopes in order of their ability to resolve small details, from best to worst.

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Chapter 36.6, Problem 36.6TYU

Chapter 36, Problem 36.1DQ

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Chapter 36 Solutions

University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)

Ch. 36.1 - Can sound waves undergo diffraction around an...Ch. 36.2 - Rank the following single-slit diffraction...Ch. 36.3 - Coherent electromagnetic radiation is sent through...Ch. 36.4 - Suppose two slits, each of width a, are separated...Ch. 36.5 - What minimum number of slits would be required in...Ch. 36.6 - Prob. 36.6TYU Ch. 36.7 - Prob. 36.7TYU Ch. 36 - Why can we readily observe diffraction effects for...Ch. 36 - Prob. 36.2DQ Ch. 36 - You use a lens of diameter D and light of...

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The given proposed telescopes in order of their ability to resolve small details, from best to worst.

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To arrange: The given proposed telescopes in order of their ability to resolve small details, from best to worst.

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Chapter 36 Solutions