Question

8. Slits of width d are carved into a screen. For what range of slit separations will there be 11 interference fringes within the central diffraction maximum?

Answer 1

Que! slits of width a are carved into a screen For what range of slit seperations will these be 11 interference fringes within the central diffraction maxima Solution First Lett Pictorize the situation dh 1 d I n=3 Now I shave drawn 5 maxima and other игч total nas n= up to 5 & same 5 marimad will be on Side and No of fringes "Ne is equals to where nun masimum order of marina obtained and in our case an at N max 2 (n) + 1 = 11 = ) h = 5 ['e n = 11-last

Now diffraction grating formula ů Where a= (a+b) sino an slit width b = slit seperation In our statement a=d & 8=? Now because n lie. nmou we know the moumum value of we can put this in equation (d+b) sino = "max ? Now for nace; sine should also be mooumum lie. Sine Should be l LU (d+b). I = nmar x =) = 5X d+b d+b [** hmore = 5 5] 5x =) /b= 5x-d Ang =)