The path difference between two identical light waves at a point $\mathrm{Q}$ on the screen in $3 \mu…

The path difference between two identical light waves at a point $\mathrm{Q}$ on the screen in $3 \mu \mathrm{m}$. If wavelength of the waves is $5000 Å$, then at point $Q$ there is
  1. $3^{\text {rd }}$ dark band
  2. $4^{\text {th }}$ bright band
  3. $5^{\text {th }}$ dark band
  4. $6^{\text {th }}$ bright band

Solution

$\begin{aligned} & \Delta \mathrm{x}=\mathrm{n} \lambda \\ & 3 \times 10^{-6}=\mathrm{n} \times 5000 \times 10^{-10} \\ & \mathrm{n}=6\end{aligned}$

Asked in: MHT CET 2023 (13 May Shift 2)

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