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(a) If one of two identical slits producing interference in Young's experiment is covered with glass so thatthe lightintensity passing through it is reduced to 50%, find the ratio of the maximu and minimum intensity of the fringe in the interference pattern. (b)Whatkindof fringes do you expect to observeif white lightis used instead of monochromatic light ? |
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Answer» SOLUTION :The central fringe remains white Hence ` (I_(max) )/( I_(min) ) =((a_1+a_2)/( a_1-a_2))^(2) ` `( ((1+( 1))/( sqrt(2)))/( 1-(1)/(sqrt(2))) )^(2) ` `= (( sqrt2+1)/( sqrt2-1) )^(2) ` The central frings remains white. No CLEAR frings pattern is seeen after a few (coloured ) frings on either side of the central fringe [Note: For part(a) of this question the student may ] (i) just draw the diagram for the young.s double SLIT experiment (ii) just side that the INTRODUCTION of teh glass sheet would INTRODUCE an additional phase difference and the position of the central fringe would shift . For all such answer the student may be awarded the full (2)marks for this part of this question] |
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