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  4. In Young's experiment fourth bright fringe produced by light of 5000 mathringA superposes on the fifth bright fringe of an unknown wavelength. The unknown wavelength is mathringA.

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Q. In Young's experiment fourth bright fringe produced by light of $5000 \,\mathring{A}$ superposes on the fifth bright fringe of an unknown wavelength. The unknown wavelength is _______$\mathring{A}$.

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Solution:

$4 \beta_{1}=5 \beta_{2}$
$4 \times 5000 \frac{D}{d}=5 \times \lambda \frac{D}{d}$
$\lambda=4000 \,\mathring{A}$