A slit has a width of W 1 =2.3E-6m. When light with awavelength of =510nm passes

Question

A slit has a width of W1=2.3E-6m. When light with awavelength of =510nm passes through this slit, the width ofthe central bright fringe on a flat observation screen has acertain value. With the screen kept in the same place, this slit isreplaced with a second slit (width W2), and a wavelength2=740nm is used. The width of the central brightfringe on the screen is observed to be unchanged. FindW2. I'm not sure where to start. A slit has a width of W1=2.3E-6m. When light with awavelength of =510nm passes through this slit, the width ofthe central bright fringe on a flat observation screen has acertain value. With the screen kept in the same place, this slit isreplaced with a second slit (width W2), and a wavelength2=740nm is used. The width of the central brightfringe on the screen is observed to be unchanged. FindW2. I'm not sure where to start.

Explanation / Answer

in both cases .     W sin =       where   sin represents the width of thecentral fringe . So youhave               Wsin =        firstwavelength and .                                  Wsin =       secondwavelenth . divide equations:     W2 / W1 = 2 /1             W2 / 2.3 x 10-6 m = 740 / 510 .       W2 =    3.337 x10-6 m    is the width of thesecond slit

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