Physics126.Exam 3.2000b - Exam 3 Solutions Page 1"t ffi 1...

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Exam 3 Solutions WW 1. In the equation sinO = l,/w for single-slit diffraction, "0" is: A) the ansle to the first minimum B) the angle to the second maximum C) the phase angle between the extreme rays D) Nn where N is an integer E) (N + ll?)n where N is an integer "0" is the angle to the first minimum for single slit diffraction. 72Vo correct 2.Two stars that are closetogether are photographed through a telescope. The black and white film is equally sensitive to all colors. Which situation would result in the most clearly separated images of the stars? A) small lens, red stars B) small lens, blue stars C) large lens, red stars D) larse lens. blue stars E) large lens, one star red and the other blue The resolving power increases as the diameter increases and as the wavelength decreases. Blue is the shortest wavelength. 39Vo correct 3. 600-nm light is incident on a gratingwith a ruling separation of 1.7x10-0n'. The first order line occurs at a diffraction angle of: A ) 0 B) 10' c) 2L' D) 42' E) 45" sinO = m),/d. This is the equationfor a diffraction grating, 95Voconect. 4. A beamof white light (from 400 nm for violet to 700 nm for red) is normally incident on a diffraction grating. It produces two orders on a distant screen. Which diagram below (R = red, V = violet) correctlyshows the pattern on the screen? Page 1 "t, ffi http: / lhep I physics I 26_w99/exam3 sol.htm ir,rr,roo,
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Exam 3 Solutions Page2", (q $ / h i e F V F V I l--l F E V V V V F F il [Tl--l | [Tn F V F V V F V H ill V V R B F R V V rv [rn I r-rl-l R V F V v l-l A) I. B) rr. C)III. D) rv. E) V. Red is diffracted the most, and since the wavelength of red is less than twice the wavelength of violet, the spectra do not overlap. 637o conect.
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