Interference of light - flat glass and an air wedge

AI Thread Summary
The discussion focuses on calculating the thickness of a hair that creates an air wedge between two flat glass pieces, resulting in 25 observed dark bands when light of 670 nm wavelength is incident. The equation for destructive interference, 2nt = (m + 1/2)lambda, is relevant for solving the problem. Participants express confusion about the setup, including the positioning of the glass and the observation of the interference bands. The air gap between the glass surfaces leads to light interference, producing alternating bright and dark stripes. Understanding the geometry and light behavior is essential for solving the problem effectively.
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Homework Statement


A fine hair separates one end of two pieces of flat glass to form and air wedge.when light of wavelength 670 nm is incident normally, 25 dark bands are observed (with one at each end).How thick is the hair?


Homework Equations


destructive interference: 2nt = (m+1/2)lambda


The Attempt at a Solution


I really have no idea how to solve this problem, or even what a diagram would look like. Is the glass positioned like a tipi? Where is the light hitting the glass, and where are the bands even being observed?

Thanks in advance!
 
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The gap between the two pieces of glass forms a triangle
Light bouncing between the glass surfaces at the top and bottom of the air gap will interfere either constructively or destructively to give a bright or dark stripe depending on if there is a whole number of half wave-lengths.
 
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