In a Young\'s interference experiment, the two slits are separatedby 0.17 mm and
ID: 1679396 • Letter: I
Question
In a Young's interference experiment, the two slits are separatedby 0.17 mm and the incident light includestwo wavelengths: 1 = 540 nm (green) and2 = 450 nm (blue). The overlappinginterference patterns are observed on a screen 1.38 m from the slits. (a) Find a relationship between the ordersm1 and m2 that determineswhere a bright fringe of the green light coincides with a brightfringe of the blue light. (The order m1 isassociated with 1, andm2 is associated with2.)m2/m1 = 1
(b) Find the minimum values of m1 andm2 such that the overlapping of the brightfringes will occur and find the position of the overlap on thescreen. m1 = 2 m2 = 3 Distance = 4 cm from the central maximum (a) Find a relationship between the ordersm1 and m2 that determineswhere a bright fringe of the green light coincides with a brightfringe of the blue light. (The order m1 isassociated with 1, andm2 is associated with2.)
m2/m1 = 1
(b) Find the minimum values of m1 andm2 such that the overlapping of the brightfringes will occur and find the position of the overlap on thescreen. m1 = 2 m2 = 3 Distance = 4 cm from the central maximum m1 = 2 m2 = 3 Distance = 4 cm from the central maximum
Explanation / Answer
a) the position of m1-order maximum of light has wavelength1 : y(m1) = m1*L1/d the position of m2-order maximum of light has wavelength 2: y(m2) = m2*L2/d y(m1) = y(m2) => m1*1 =m2*2 => m2/m1 = 1/2 = 1.2 b) m2/m1 = 1.2 = 6/5 => m1 = 5 m2 = 6 => position : y = m1*L1/d = 0.0219 m = 21.9 mm