ACCORDING TO THE UNDULATORY THEORY. 4-81 



through a system of waves of light after a lapse of the time ^ ^vhose 

 Intensity is « and whose length of undulation xs X, .s expressed by the 

 equation , ^ ^ 



M = a3in27r I ^~"Y )' 



in which X stands for the distance of the particles from the centre of vi- 



' tet" s use this formula to determine the velocities of -dulation ^ 

 «. I, ...... which the particle of .ther acquires through the system 



of waves of light, whose intensities are: (1 - r)^ a, r^l - r) a, 

 r^(i _r)2a, r«(l — r)*a ..... thus we have : 



M = (1 - r)2 a . sin 2 TT ^ < — ^ j 

 = (1 — r)2a .sin2 7r (^~^) 



M, =r« (1 -r)'a . sm 2 tt ^t ^^^ j 



— j.i(\— rya rsin2xM— -j 



-cos2.(.--)sm_^J 



■ ^ I ^ X + ^b\ 

 M2 = r4(l — r)«a.sm2 7r \^t ^^ j 



_ r4 (1 _ rf a ["sin 2 tt ^< - -| j cos 2 . 



-cos2x(^^--]sm2. -^^J 



/ X + 6 6\ 

 Mj = r« (1 — r)"- a . sm 2 ir it ^^^ — j 



= ^6 (1 _ rya ["sin 2 tt (< - |^ cos3 



^ / A • « 27r2 6-| 

 — cos2 7r^< — -J sm3 ^J 



27r26 

 cos . — - — 



2n-2^> 

 \ 



27r26 



iS3 r 



\ 



2 7r2^'" 



M„ = r«» (1 - r)* o . sm 2 ir I < j^^ J 



