(a) Use the result of Problem to show that, in a Newton 's rings experiment, the difference in radius between adjacent bright rings (maxima) is given by r r m 1 rm R m, assuming m 1 (b) Now show that the area between adjacent bright rings is given by A R, assuming m 1 Note that this area is indepen...

a The binomial theorem Appendix E allows us to write x x 3 ...

(a) Use the result of Problem to show that, in a Newton's rings experiment, the difference in...

Question:

(a) Use the result of Problem to show that, in a Newton's rings experiment, the difference in radius between adjacent bright rings (maxima) is given by Δr = r m+1 – rm ≈ ½ √λR/m, assuming m >> 1.
(b) Now show that the area between adjacent bright rings is given by A = πλR, assuming m >> 1. Note that this area is independent of m.