Curve Glass Top
30 May 2010
Curve Glass Top
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Help with this physics question plz
How to calculate how many bright rings are there
The drawing shows a cross section of a planoconcave lens resting on a flat glass plane. (A planoconcave lens has one surface that is a plane and the other that us concave spherical.) The thickness t is 1.37*10^-5 m. The lens is illuminated with monochromatic light (wavelength of vacuum =550 nm) and series of concentric bright and dark rings is formed, much like newton's rings. How many bright rings are there?
(Hint:The cross section in the drawing shows that a kind of air wedge exists between the place where the two pieces of glass touch and the top of the curved surface where the distance t is marked.)
♣a beam reaching the air gap will split into beam_1 reflecting from the gap back into the lens, and beam_2 that enters the gap, reflects from the flat plate back into the air gap, and exits from the gap back into the lens;
♠optical path of beam_2 is longer than that of beam_1 by
Δs=2t, where t is the size across the gap;
♦to see a bright ring we must admit that
Δs = (2k +1) λ/2, where λ=550e-9 m, integer k=0,1,2,3, etc;
Thus 2t =(2k +1) λ/2, where t=1.37e-5m is max size across the gap;
Therefore 2k +1 = round(99.6) =99, hence k =49;
including k=0 we get “How-many-bright-rings-are-there” = 50;
