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Light from a sodium vapor lamp passes through a filter thatblocks all but a sing

ID: 1666378 • Letter: L

Question

Light from a sodium vapor lamp passes through a filter thatblocks all but a single narrow wavelength band. It then fallson two slits separated by 0.460mm. The resulting interferencepattern on a screen 2.20 meters away has adjacent bright fringesseparated by 2.82 mm.

a.) What is the wavelength of the light?

b.) If the slit separation were narrowed to 0.35 mm, what is theseparation of the fringes?

Explanation / Answer

for bright fringes can be seen on viewing screen: the distance between adjacent frings is: i=.L/d ; L=2.2 (m) ,d=0.46 (mm) (a) => =0.590 (m) (b) the seperation of the fringes now is: i'=.L/d'=0.59m.2.2/(0.35mm)=3.7 mm can be seen that narrow the spilits leads to larger theseperation.

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