Optics Problems - Numerical 26

In Young's double slit experiment, we observe the 10^t^h maximum for l = 1000^o A. What will be visible if the source of light is replaced by light of wavelength 5000^o A

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Suggested solution:

Suggested solution:

If y₁₀ be the distance of the 10^t^h bright fringe from the central fringe, then,

Let n^t^h bright fringe be formed at the same place when the new wavelength is 5000 A

But y_n = y₁₀ ₍_g_i_v_e_n₎

On simplification, n=14

Thus, 14^t^h order bright fringe will be visible at the same place where 10^t^h order bright fringe was originally observed.