s1 - u- PHYS 260 Problem Set 1 , _ _. 1. In one arm of a...

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Unformatted text preview: u- PHYS 260 Problem Set 1 , _ _. 1. In one arm of a Mieheleon interferemeter there is placed a closed tube bf length 0.2 m with . transparent end pieces thrbugh which the light pagees freely. A fringe pattern is observed using l ‘ ‘ ‘ light of wavelength 5.9 x 10‘_7 m, and then the air is evacuated out of the tube. By how many ‘ ("Ni ‘ ; fringes will the fringe pattern shift? The speed of light in airis (1 — 2.9 X 10—4)c _. 7. " f s : i : : _ : ,fiweaanawj * Tia/$.49; ' .,j.cSL. 7;"C2yjfffm 57.x; 2,90%, .s A? ‘4’”; . ._ is want t; . 3e an, ahead , ' I 77 00.4% 4. \Nv/ 2. The analysis of the Michelson-Morley experiment is normally done for the case where one arm is parallel to the ether wind and one arm is perpendicular to it. Consider the more general case where one arm is at an angle of 9 with respect to the wind. (The two arms are still perpendicular to each " 'f I, I, , other.) Show that for equal arms of length l, the time difference for the two paths is approximately ‘l At(9) = v2lcos26/c3 . 3 at: _. :_ _r = Q“ ._ f _ l l tease} U473. ., e. I p ‘ _% . i ‘ I. I ,_ y ‘ _ _ _ 1% , n . y F: 111; .m.!1§_51.|."41T|1_i.l L... .’. 4E [2..Lta 'ty of this (3) There exists a frame in which these events occur at the same time. Find the V€l001 frame with respect to S. { l l I l 3. The space and time coordinates of two events, as measured in a frame 3 are as follows: l g l I . l i l l [ ‘ l i l 0 | . l i 7 , .. 1V: a, V11“ all. Lil ‘ 1 . ._+.___.n ,_g..m7 : M. ,llwillrltl 11+ 1L1) 1.1 lilrli ‘ t _ ._ h _ m n w m .e ., . , ,_ . 21(41):-le y V a. illlw ,llli V t . L“! 3130/20, 91 = 0, Z1 23:0) t2 (b) What is the value of t at which both events occur in this frame? Event 1 : 321- = mg, t1 = {Ea/C, y1 = O, 21 = 0 Event 2 : 9:2 , , . , ., . . , . l _. M , i. /, , . x , w w m .m m . , 1 1 . i l a . 4 . i 1 1 Mr: i . a s . .LE1iallLllLllnllh,lilmll.Tallfllll .1 :L11. .r z ...
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s1 - u- PHYS 260 Problem Set 1 , _ _. 1. In one arm of a...

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