YDSE
There are 2 imp approaches in it:
1) Identification of standard YDSE diagram and applying x=yd/D d<<<D d=Slit seperation, D=distance b/w slits and screen
2) Points of maxima x=n l, minima = (2n-1) l , so if slit width is a multiple of wavelength=I
Say 3l the 3rd maxima will not be observable, so there will be2*2(2 max above and 2 below) + 1(central maxima) =5 maxima and 3*2(l/2, 3l/2, 5l/2, above and below) =6 minima’s observed
After identifying the approaches u are ready with the solving part so here it goes
*~* Phase diff=2pi/l*Path Difference (applicable only for coherent sources)
*~*If slit width becomes large interference fringes disappear
*~*INTENSITY
-:-Intensity observed I=I1+I2+2(I1*I2) ^0.5cos# where I1, I2 are the intensities transmitted from 1st and 2nd slit, #=phase diff b/w interfering light waves
-:-Intensity at maxima= ((I1) ^0.5+ (I2)0.5) ^2 //// Intensity at minima= ((I1) ^0.5-(I2)0.5) ^2
-:-Intensity Ix Amplitude square A^2 (simple 3 markers can be asked with closely resembling options)
-:-Intensity at distance y from central maxima I=4Iocos^2(pi y/d) if I1=I2=Io
-:-If 1 slit is closed the intensity becomes Io, where maximum intensity is 4Io
*~*PATH DIFFERENCES
-:-Always take care of optical path differences apart from geometrical as follows
-:-If light travels a distance d in air/vacuum optical path =geometrical path=d, but in a medium of refractive index u optical path=u d ; geometrical path= d
-:-If light is reflected it faces a phase lag of pi or path diff of l/2
*~*FRINGE WIDTH
-:-W=D l/d will become Dl/u d if YDSE is performed in any medium E g: water….
-:-Even if transparent sheets are introduced it remains same, the central maxima and hence the entire fringe pattern shifts by the same amt (can be calc easily by taking care of optical path differences)
-:-Angular fringe width o=l/d o is in radians, so make app conversions if o is given in degrees =>1 degree=pi/180 radians (I seems very easy but q paper me degree se aane wala ans bhi hoga :P….so chances of overconfidence/silly/careless errors)
*~*PLACING OF THE SCREEN
-:-Fringes can be rectangular hyperbolic/circular depending on whether the screen is placed perpendicular or parallel to the slits
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I HAVE ATTACHED 3 FILES –SHOWING THE APPROACHES I HAD MENTIONED IN THE BEGINNING OF THE ARTICLEJ
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HOPE I HAVE TAKEN CARE OF ALL THE IMP ASPECTS INVOLVED IN YDSE, I made these short notes (just half a register side – quick revision+ reminder of possible errors) for my j e e exam and I strongly feel that it is COMPLETE in itself and contains all those pts which one requires to know just before/in the exam-MY PERSONAL EXPERIENCEJ
HOPE IT HELPS U TOO!
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