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In the YDSE apparatus shown in figure, `dltltD` and `d = 6lambda`. Find (a) total number of maximas and minimas on the screen . (b) two y-coordinates corresponding to third order maxima. |
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Answer» (a) In the given set up, `dltltD` Therefore, we can apply ` Deltax =d sin theta ` `(Deltax)_min = 0` at `theta = 0^@` and `(Deltax)_max = 6lambda` at` theta = 90^@` Therefore, total number of maximas are eleven corresponding to, `Deltax = 0, +-lambda, +-2lambda, +-3lambda, +-4lambda and +-5lambda` (b) Third order minima lies at `Deltax = +-3lambda` `:. d sin theta = +-3lambda or 6 lambda sin theta = +-3 lambda ` or sin theta = +- 1/2` or `theta = +-(30^@)` Now, `y/D = tan theta` and `y= D tan theta` `:. y = +-D tan30^(@)` or `y=+- D/sqrt3`. |
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