3/14/11 1 Physics 1223/14/11 2 Physics 1223/14/11 4 Physics 1223/14/11 5 Physics 1223/14/11 6 Physics 1223/14/11 7 Physics 122 v0=Tμ3/14/11 8 Physics 122 y(x,0) = Asin(kx)y(x,t) = Asin[k(x v0t)]3/14/11 9 Physics 122 y (x,t) = Asin(kx t)k =2 =2 T3/14/11 10 Physics 122 = v0T= v01f or f = v02k = v02 or k= v03/14/11 11 Physics 122 y = Asin(kx1 t) + Asin(kx2 t)y = Asin(1 t) + Asin(2 t)x1 x23/14/11 12 Physics 1223/14/11 13 Physics 122 y = Asin(kx1 t) + Asin(kx2 t)y = Asin(1 t) + Asin(2 t)12 1 2= kx1 kx2= kx1 x2()= kD = 2D3/29/10 14 Physics 122 t y3/29/10 15 Physics 122 4 33/29/10 16 Physics 122 3.5 43/29/10 17 Physics 122 t t t t3/29/10 20 Physics 122 t t t t3/29/10 21 Physics 1223/29/10 22 Physics 122 D a When D = n, waves add. When D = (n+1/2), waves cancel3/14/11 25 Physics 122 D = asin ay = Ltan L3/14/11 26 Physics 122 a D L y sintan==DayLSlits are really much, much closer than shown so this point is almost all the way to the left. For small angles, sin ~ , tan ~ )( whenMinimum
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