The path difference between two interfering l | vedclass

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(B) The condition for constructive interference (bright band) is path difference $\Delta x = n\lambda$,where $n = 0, 1, 2, \dots$The condition for des

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$44^{	ext{th}}$ dark band

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(B) The condition for constructive interference (bright band) is path difference $\Delta x = n\lambda$,where $n = 0, 1, 2, \dots$The condition for destructive interference (dark band) is path difference $\Delta x = (2n - 1) \frac{\lambda}{2}$,where $n = 1, 2, 3, \dots$Given path difference $\Delta x = \frac{87}{2} \lambda = 87 \left( \frac{\lambda}{2} ight)$.Comparing this with the condition for the dark band: $(2n - 1) \frac{\lambda}{2} = 87 \frac{\lambda}{2}$.$2n - 1 = 87$$2n = 88$$n = 44$.Therefore,the point corresponds to the $44^{	ext{th}}$ dark band.

The path difference between two interfering light waves meeting at a point on the screen is $\left(\frac{87}{2}\right) \lambda$. The band obtained at that point is

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