Two coherent sources P and Q produce interfer | vedclass

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Question

(B) For constructive interference (bright bands),the path difference is $\Delta x = n\lambda$,where $n = 0, 1, 2, \dots$For destructive interference (

Vedclass · Accepted Answer

$2.7 	imes 10^{-4} 	ext{ cm}$

Vedclass · Answer

(B) For constructive interference (bright bands),the path difference is $\Delta x = n\lambda$,where $n = 0, 1, 2, \dots$For destructive interference (dark bands),the path difference is $\Delta x = (n + \frac{1}{2})\lambda$,where $n = 0, 1, 2, \dots$The $4^{	ext{th}}$ bright band corresponds to $n = 4$ $(\Delta x = 4\lambda)$ and the $5^{	ext{th}}$ bright band corresponds to $n = 5$ $(\Delta x = 5\lambda)$.$A$ dark band formed between the $4^{	ext{th}}$ and $5^{	ext{th}}$ bright band corresponds to $n = 4$ in the dark band formula: $\Delta x = (4 + \frac{1}{2})\lambda = 4.5\lambda$.Given $\lambda = 6000 	ext{ Å} = 6000 	imes 10^{-10} 	ext{ m} = 6 	imes 10^{-7} 	ext{ m} = 6 	imes 10^{-5} 	ext{ cm}$.Path difference $\Delta x = 4.5 	imes (6 	imes 10^{-5} 	ext{ cm}) = 27 	imes 10^{-5} 	ext{ cm} = 2.7 	imes 10^{-4} 	ext{ cm}$.

Two coherent sources $P$ and $Q$ produce interference at point $A$ on the screen,where a dark band is formed between the $4^{\text{th}}$ bright band and the $5^{\text{th}}$ bright band. The wavelength of the light used is $6000 \text{ Å}$. The path difference between $PA$ and $QA$ is:

Similar Questions

In a Young's double-slit experiment,the fringe width is $0.8 \, mm$ when light of wavelength $6000 \, \mathring{A}$ is used,and the screen is at a distance of $2.5 \, m$. If the experiment is performed in a liquid with a refractive index of $1.6$,the new fringe width will be.....$mm$.

In $YDSE$,$16$ fringes occupy a certain region of space with light of wavelength $6000\,\mathring{A}$. If $24$ fringes occupy the same region,the wavelength of the new light is........$\mathring{A}$.

In an interference pattern,the $(n + 4)^{th}$ order blue bright fringe and the $n^{th}$ order red bright fringe coincide at a point. If the wavelengths of red and blue light are $7800 \, \mathring{A}$ and $5200 \, \mathring{A}$ respectively,then the value of $n$ is . . . . . .

For sustained interference fringes in a double-slit experiment,the essential condition$(s)$ is/are:
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Explain Young's double-slit experiment,its experimental arrangement,and how it produces an interference pattern.

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