please show full work for 5 stars A glass lens is flat on one side. Its other si
ID: 2138710 • Letter: P
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please show full work for 5 stars
A glass lens is flat on one side. Its other side is spherical with radius R = 1.00 m. The lens is placed on a glass plate, and yellow light of wavelength Lambda = 589 nm is shone directly downward. The reflected light forms a series of concentric light and dark rings. Explain how the rings form and show that their radii are given by Calculate the radii of the first three rings, (b) If the glass has index of refraction ng = 1.500 and oil with n0 = 1.52 is placed in the space between lens and glass plate, what effect does this have on the rings?Explanation / Answer
a) r=sqrt(lambdaR(m-1/2))
if m=1, radius of first ring r1=sqrt(589*10^_9*1(1-1/2)
=17.16*10^-4 m
=0.17 micrimetere
if m=2, radius of second ring r2=sqrt(589*10^_9*1(2-1/2)
=0.29 micrometere
if m=3, radius of third ring r3=sqrt(589*10^_9*1(3-1/2)
=0.38 micrometer
b) if oil is kept in between lens and glass
r=sqrt((lambd/n0)R/(m-1/2))
now radius of first ring r1=sqrt(589*10^_9/1.52*1(1-1/2)
=12.3288 micrmetere
radius of second ring r2=sqrt(589*10^_9/1.52*1(2-1/2)
=12.3288 micrimeter
radius of third ring r3=sqrt(589*10^_9*1(3-1/2)
=12.3288 micrometer
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