Yes, I don't see a way to connect the 6250 angstroms and the fact that each wavelength must be a multiple of a half. There must be some equation I'm missing, but I just can't figure out the problem.Jason+Strife said:Homework Statement
If the apparatus for showing Newton's rings is illuminated with light at 6250 A (angstroms), what thickness of film underlies each of the first three light rings?
Homework Equations
2D (the thickness of the film) equals a multiple of 1/2 of a wavelength
1 angstrom = 1 x 10^-10 wavelength
The Attempt at a Solution
I can't see how the angstroms connect to the fact that the thickness must be a multiple of 1/2.
That's not quite right.Jason+Strife said:Yes, I don't see a way to connect the 6250 angstroms and the fact that each wavelength must be a multiple of a half.
By setting 2D equal to the first three odd integer multiples of 1/2 wavelength. (Solve for D.)Jason+Strife said:OK, but how can I use that information (the angstroms) to figure out the thickness for the first three light rings?
The "Simple Newton's Rings problem" refers to a phenomenon in optics where a pattern of concentric rings is formed when a plano-convex lens is placed on a flat glass surface. This results from the interference of light waves reflected from the two surfaces.
The formation of Newton's Rings is caused by the interference of light waves. When light is reflected from two surfaces, such as the surface of a plano-convex lens and a flat glass surface, the waves interfere with each other, resulting in a pattern of concentric rings.
The Simple Newton's Rings problem has various applications in optics, including measuring the flatness of surfaces, determining the refractive index of liquids, and calibrating optical instruments.
The radius of curvature of a lens can be determined by measuring the diameter of the central dark spot in the Newton's Rings pattern. The larger the diameter, the smaller the radius of curvature, and vice versa.
The appearance of Newton's Rings can be affected by various factors, such as the wavelength of light, the thickness of the air gap between the lens and the glass surface, and the angle of incidence of the light. The material and surface quality of the lens and glass can also affect the pattern.