1) Suppose that we have a pair of slits that have a very narrow 2.0 1n separatio
ID: 1364057 • Letter: 1
Question
1) Suppose that we have a pair of slits that have a very narrow 2.0 1n separation. If a 650 nm red laser is passed through the slits, calculate the angle where the Ist, 2nd, and 3rd order spots will be found. Where is the 4th order spot? Explain. 2) White light passes through a pair of slits that are O.170 mm apart and are 0.050 mnm wide. The transmitted light falls on a screen 3.50 m away from the slits. It is found that the colors are separated on each of the spots. How big is the rainbow observed on the 1st order spot? In other words, what is the distance between the 750 nm red line and the 380 violet line as measured on the screen?Explanation / Answer
here,
Lamda = 650 nm = 6.5*10^-7 m
slit seperation = 2 um = 2 * 10^-9 m
D*sinA = M.Lamda
A = arcSin(M.Lamda / D )
Case : m = 1
A = arcSin(1*6.5*10^-7 / 2 * 10^-9 )
A = arc(.325)
A = 18.96 degrees
Case : m = 2
A = arcSin(2*6.5*10^-7 / 2 * 10^-9 )
A = arc(0.65)
A = 40.54 Degrees
Case : m = 3
A = arcSin(3*6.5*10^-7 / 2 * 10^-9 )
A = arc(.975)
A = 77.16 degrees
Case : m = 4
A = arcSin(4*6.5*10^-7 / 2 * 10^-9 )
A = arc(1.3)
There Will no 4 order for this system
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