A piece of fine fiber with a diameter of D = 5.5 m is used to prop apart the edg

Question

A piece of fine fiber with a diameter of D = 5.5 m is used to prop apart the edges of two perfectly flat 2.9-cm-long pieces of glass (see diagram). When the setup is illuminated from above with light of wavelength = 595 nm, an interference pattern of alternating bright and dark bands will be seen in the reflected light. If the setup is viewed from high above, how many dark bands will be seen?

A piece of fine fiber with a diameter of D = 5.5 m is used to prop apart the edges of two perfectly flat 2.9-cm-long pieces of glass (see diagram). When the setup is illuminated from above with light of wavelength = 595 nm, an interference pattern of alternating bright and dark bands will be seen in the reflected light. If the setup is viewed from high above, how many dark bands will be seen?

Explanation / Answer

apply Y = mLR/D

and d sin theta = mL

when theta = 90 deg

m = 5.5e-6/595nm

m = 9

so No. of fringes n = 9-1 = 8

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