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Tagged with:    [Post New]posted on 24 Jun 2008 12:46:40 IST    

 


 


 


 


 


 


 


 


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!


 


 


 


 


 


 


 


(***********************)


 


 


 


 


 


 


 


































Do leave u r comments…


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 


 




About the Author:
akku (1142)

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Olaaa!! Perrrfect answer. 188  [289 rates]

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pink_ele
pink_ele is offline comment by pink_ele    (posted on 24 Jun 2008 13:17:51 IST)
really nice work!...................:)
pi
pi is offline comment by pi    (posted on 24 Jun 2008 13:19:07 IST)
good job
jain108
jain108 is offline comment by jain108    (posted on 24 Jun 2008 13:38:54 IST)
nice wrk
akku
akku is offline comment by akku    (posted on 24 Jun 2008 13:47:45 IST)
thanx:):)
shivam999
shivam999 is offline comment by shivam999    (posted on 24 Jun 2008 13:59:37 IST)
cool
tweety
tweety is offline comment by tweety    (posted on 24 Jun 2008 14:14:11 IST)
good work...
asish is offline comment by asish    (posted on 24 Jun 2008 16:50:32 IST)
gr8.............
pranay_robot
pranay_robot is offline comment by pranay_robot    (posted on 24 Jun 2008 17:21:14 IST)
GOOD WORK !!!!
akku
akku is offline comment by akku    (posted on 24 Jun 2008 17:22:13 IST)
thanx:D:D
thedumbheadwithnobrain
thedumbheadwithnobrain is offline comment by thedumbheadwithnobrain    (posted on 24 Jun 2008 20:32:32 IST)
keep sending more,you are doing a really good job
akku
akku is offline comment by akku    (posted on 24 Jun 2008 22:22:42 IST)
kk
ramyani
ramyani is offline comment by ramyani    (posted on 24 Jun 2008 23:34:51 IST)
cool !
ANKIT.25ANKIT
ANKIT.25ANKIT is offline comment by ANKIT.25ANKIT    (posted on 25 Jun 2008 00:59:24 IST)
gud
MUDIT
MUDIT is offline comment by MUDIT    (posted on 25 Jun 2008 13:25:19 IST)
nice yaar!
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