(B) The fringe width $\beta$ in a medium with refractive index $\mu$ is given by the formula: $\beta = \frac{\lambda' D}{d}$,where $\lambda' = \frac{\

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(B) The fringe width $\beta$ in a medium with refractive index $\mu$ is given by the formula: $\beta = \frac{\lambda' D}{d}$,where $\lambda' = \frac{\lambda}{\mu}$.Thus,$\beta = \frac{\lambda D}{\mu d}$.Given values:$\lambda = 6300 \ \mathring{A} = 6300 \times 10^{-10} \ m$$D = 1.33 \ m$$d = 1 \ mm = 10^{-3} \ m$$\mu = 1.33$Substituting these values into the formula:$\beta = \frac{6300 \times 10^{-10} \times 1.33}{1.33 \times 10^{-3}}$$\beta = 6300 \times 10^{-7} \ m$$\beta = 6.3 \times 10^{-4} \ m = 0.63 \ mm$.

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

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$A$ Young's double-slit experimental setup is immersed in water of refractive index $1.33$. It has a slit separation of $1 \ mm$ and the distance between the slits and the screen is $1.33 \ m$. If the wavelength of incident light on the slits is $6300 \ \mathring{A}$,then the fringe width on the screen is:

AP EAMCET 2019 All AP EAMCET

A
$6.3 \ mm$
B
$0.63 \ mm$
C
$0.63 \ m$
D
$6.3 \ m$

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Class 12

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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,light of wavelength $5890 \ \mathring A$ is used,and the angular fringe width on the screen is $0.20^\circ$. If the entire apparatus is immersed in water,find the new angular fringe width. (Refractive index of water $\mu = 4/3$) (in $^\circ$)

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$A$ fringe width of $6 \ mm$ was produced for two slits separated by $1 \ mm$ apart. The screen is placed $10 \ m$ away. The wavelength of light used is $'x' \ nm$. The value of $'x'$ to the nearest integer is

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In a Young's double-slit experiment with wavelength $\lambda$,the fringe width is $\beta$. When two glass plates of thicknesses $t_1$ and $t_2$ $(t_1 > t_2)$ and refractive index $\mu$ are placed in the paths of the two light beams respectively,by what distance will the fringe pattern shift?

Medium

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The figure shows a schematic diagram of the arrangement of Young's Double Slit Experiment. If the distance $d$ is varied,then identify the correct statement.

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Two slits are made $10 \ mm$ apart and the screen is placed $1.5 \ m$ away. What is the fringe separation when a wavelength of $7000 \ \mathring{A}$ is used (in $\mu m$)?

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In a Young's double-slit experiment,light of wavelength $5890 \ \mathring A$ is used,and the angular fringe width on the screen is $0.20^\circ$. If the entire apparatus is immersed in water,find the new angular fringe width. (Refractive index of water $\mu = 4/3$) (in $^\circ$)

$A$ fringe width of $6 \ mm$ was produced for two slits separated by $1 \ mm$ apart. The screen is placed $10 \ m$ away. The wavelength of light used is $'x' \ nm$. The value of $'x'$ to the nearest integer is

In a Young's double-slit experiment with wavelength $\lambda$,the fringe width is $\beta$. When two glass plates of thicknesses $t_1$ and $t_2$ $(t_1 > t_2)$ and refractive index $\mu$ are placed in the paths of the two light beams respectively,by what distance will the fringe pattern shift?

The figure shows a schematic diagram of the arrangement of Young's Double Slit Experiment. If the distance $d$ is varied,then identify the correct statement.

Two slits are made $10 \ mm$ apart and the screen is placed $1.5 \ m$ away. What is the fringe separation when a wavelength of $7000 \ \mathring{A}$ is used (in $\mu m$)?

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