Example 35: A Newton's ring arrangement is used with a source emitting two wavelengths λ1=6×10−5cm and λ2=4.5×10−5cm and it is found that the nth dark ring due to λ1 coincides with (n+1)th dark ring due to λ2. If the radius of curvature of the curved surface is 90 cm , find the diameter of the nth dark ring for λ1.