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Two slits S(1) and S(2) on the x-axis an...


Two slits `S_(1)` and `S_(2)` on the x-axis and symmetric with respect to y-axis are illuminated by a parallel monochromatic light beam of wavelength `lamda`. The distance between the slits is `d(gt gt lamda)`. Point M is the mid point of the line `S_(1)S_(2)` and this point is considered as the origin. The slits are in horizontal plane. The interference pattern is observed on a horizontal palte (acting as screen) of mass `M`, Which is attached to one end of a vertical spring of spring constant K. The other end of the spring is fixed to ground At t=0 the plate is at a distance `D(gt gt d)` below the plane of slits and the spring is in its natural length. The plate is left from rest from its initial position. Find the x ad y co-ordinates of the `n^(th)` maxima on the plate as a function of time. Asuume that spring is light andplate always remains horizontal.

Text Solution

Verified by Experts

The correct Answer is:
`(nlamdaD')/(d),-D` where `D'=D+(Mg)/(K)(1-cosomegat)`
Fringe pattern forms on a screen the distance of the nth maxima in x-direction i.e., x coordinates is `nlamdaD'` and y-position is decided by the SHM of spring.
`D'=D+(Mg)/(k)(1-cosomegat)`
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