Grades Two narrow slits are filluminated by th thet the third-order bnighe ringe

Question

Grades Two narrow slits are filluminated by th thet the third-order bnighe ringe i located V e S, 40 cm away from the central bright ninge nm The interference pattern on a screen located x 4.60 m away shows ows at the third-order bright fringe is located y 5.40 cm away from the central b right fringe culatethe distance between the two Submit Arser Tries 0/20 The screen is now moved 0.9 m further away. What is the new distance between the central and the third-order bright fringe? Sulemit Answer Tries 0/20

Explanation / Answer

From the equation for separation between the adjacent maxima is

Ym = X*m*lambda/d

where R is separation of slit and screen  

m = 1,2,3,4,5,.........

lambda is wavelength of the light used

d is slit width  

given

lambda = 524 nm , X = 4.60 m , m=3, y3 = 5.40 cm

Ym = X*m*lambda/d

d = X*m*lambda/Ym

substituting the values  

d = 4.60*3*524*10^-9 /(5.40*10^-2) m

d = 0.0001339111111 m

d = 0.000134 m

d = 134 micro meters

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now X is changed to X = 4.60+0.9 = 5.5 m

the distance between the central bright fringe and third bright fringe is  

y3 = 5.5*3*524*10^-9/(134*10^-6) m

y3 = 0.0645223880597 m

y3 = 64.5224 mm

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