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Q.

In a Young’s interference experimental arrangement, the yellow light is composed of two wavelengths 5890 A0 and  5895 A0. The distance between the two slits is 10–3 m and screen is placed 1 m away. Upto what order can fringes be seen?

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a

589

b

280

c

440

d

339

answer is A.

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Detailed Solution

When the maxima of one wavelength coincides with minima of the other, the fringes will disappear

{y_{\max }} = {y_{\min }}\
\frac{{n\left( {5895} \right)D}}{d} = \frac{{\left( {n + \frac{1}{2}} \right)5890D}}{d}\

                

n=589

Hence fringes will be visible upto 589 order of wavelength 5895 A0

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