1054_Physics ProblemsTechnical Physics

1054_Physics ProblemsTechnical Physics - Chapter 37 Section...

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Chapter 37 395 Section 37.7 The Michelson Interferometer P37.41 When the mirror on one arm is displaced by A , the path difference changes by 2 A . A shift resulting in the reversal between dark and bright fringes requires a path length change of one-half wavelength. Therefore, 2 2 A = m λ , where in this case, m = 250 . A == × = m µ 4 250 6 328 10 4 39 6 7 a f ej . . m m P37.42 Distance = 2 3 82 10 1 700 4 . m = 449 10 449 7 m n m The light is blue . P37.43 Counting light going both directions, the number of wavelengths originally in the cylinder is m L 1 2 = . It changes to m L n nL 2 22 λλ as the cylinder is filled with gas. If N is the number of bright fringes passing, Nm m L n =−= 21 2 1 af , or the index of refraction of the gas is n N L =+ 1 2 Additional Problems *P37.44 (a) Where fringes of the two colors coincide we have dm m sin θλ ′′ , requiring = m m . (b) = 430 nm, ′ = 510 nm m m 430 43 51 nm 510 nm , which cannot be reduced any further. Then m = 51,
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