(D) Given path difference $\Delta x = 3 \mu m = 3 \times 10^{-6} \text{ m}$.The wavelength $\lambda = 5000 \text{ Å} = 5000 \times 10^{-10} \text{ m}

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(D) Given path difference $\Delta x = 3 \mu m = 3 \times 10^{-6} \text{ m}$.The wavelength $\lambda = 5000 \text{ Å} = 5000 \times 10^{-10} \text{ m} = 5 \times 10^{-7} \text{ m}$.For constructive interference (bright band),the condition is $\Delta x = n \lambda$,where $n = 0, 1, 2, 3, \dots$.Substituting the values: $3 \times 10^{-6} = n \times (5 \times 10^{-7})$.$n = \frac{3 \times 10^{-6}}{5 \times 10^{-7}} = \frac{30}{5} = 6$.Since $n = 6$ is an integer,the point $Q$ corresponds to the $6^{\text{th}}$ bright band.

Class 12 Physics Wave Optics Young's Double Slit Experiment (YDSE)

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The path difference between two identical light waves at a point $Q$ on the screen is $3 \mu m$. If the wavelength of the waves is $5000 \text{ Å}$,then at point $Q$ there is:

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A
$3^{\text{rd}}$ dark band
B
$4^{\text{th}}$ bright band
C
$5^{\text{th}}$ dark band
D
$6^{\text{th}}$ bright band

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Wave Optics

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Young's Double Slit Experiment (YDSE)

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In a Young's double-slit experiment,$92$ fringes are observed when sodium light $(\lambda = 5898 \, \mathring A)$ is used. If light of wavelength $\lambda = 5461 \, \mathring A$ is used instead,how many fringes will be observed?

Easy

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The ratio of the distance of the $n^{\text{th}}$ bright band and the $m^{\text{th}}$ dark band from the central bright band in an interference pattern is

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In Young's double slit experiment,the $y$-coordinates of the central maxima and the $10^{th}$ maxima are $2 \, cm$ and $5 \, cm$ respectively. When the $YDSE$ apparatus is immersed in a liquid of refractive index $\mu = 1.5$,what will be the corresponding $y$-coordinates?

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In Young's double-slit experiment,if one slit is covered with a blue filter and the other with a yellow filter,then the interference pattern will be:

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In a Young's experiment,when $n$ coherent sources of equal intensity $I_0$ are used,the resultant intensity is $I_1$. When $n$ incoherent sources of equal intensity $I_0$ are used,the resultant intensity is $I_2$. What are the values of $I_1$ and $I_2$?

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The path difference between two identical light waves at a point $Q$ on the screen is $3 \mu m$. If the wavelength of the waves is $5000 \text{ Å}$,then at point $Q$ there is:

Similar Questions

In a Young's double-slit experiment,$92$ fringes are observed when sodium light $(\lambda = 5898 \, \mathring A)$ is used. If light of wavelength $\lambda = 5461 \, \mathring A$ is used instead,how many fringes will be observed?

The ratio of the distance of the $n^{\text{th}}$ bright band and the $m^{\text{th}}$ dark band from the central bright band in an interference pattern is

In Young's double slit experiment,the $y$-coordinates of the central maxima and the $10^{th}$ maxima are $2 \, cm$ and $5 \, cm$ respectively. When the $YDSE$ apparatus is immersed in a liquid of refractive index $\mu = 1.5$,what will be the corresponding $y$-coordinates?

In Young's double-slit experiment,if one slit is covered with a blue filter and the other with a yellow filter,then the interference pattern will be:

In a Young's experiment,when $n$ coherent sources of equal intensity $I_0$ are used,the resultant intensity is $I_1$. When $n$ incoherent sources of equal intensity $I_0$ are used,the resultant intensity is $I_2$. What are the values of $I_1$ and $I_2$?

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