(B) The distance of the $n^{th}$ bright fringe from the central maxima is given by the formula: $x_n = \frac{n \lambda D}{d}$.Here,$n = 3$,$\lambda =

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(B) The distance of the $n^{th}$ bright fringe from the central maxima is given by the formula: $x_n = \frac{n \lambda D}{d}$.Here,$n = 3$,$\lambda = 6000\ \mathring A = 6000 \times 10^{-10}\ m$,$D = 1.0\ m$,and $d = 0.5\ mm = 0.5 \times 10^{-3}\ m$.Substituting these values into the formula:$x_3 = \frac{3 \times 6000 \times 10^{-10} \times 1.0}{0.5 \times 10^{-3}}$$x_3 = \frac{18000 \times 10^{-10}}{0.5 \times 10^{-3}}$$x_3 = 36000 \times 10^{-7}\ m = 3.6 \times 10^{-3}\ m = 3.6\ mm$.Therefore,the separation is $3.6\ mm$.

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

Medium

In Young's double slit experiment,the slits are $0.5\, mm$ apart and interference pattern is observed on a screen placed at a distance of $1.0\, m$ from the plane containing the slits. If the wavelength of the incident light is $6000\ \mathring A$,then the separation between the third bright fringe and the central maxima is......$mm$.

A
$4$
B
$3.6$
C
$3$
D
$2.5$

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Wave Optics

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Young's Double Slit Experiment (YDSE)

In Young's double slit experiment,carried out with light of wavelength $5000 \ \mathring{A}$,the distance between the slits is $0.3 \ \text{mm}$ and the screen is at $200 \ \text{cm}$ from the slits. The central maximum is at $x=0 \ \text{cm}$. The value of $x$ for the third maxima is ............. $\text{mm}$.

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Who was the first to study the phenomenon of interference of light?

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In Young's double slit experiment,the light emitted from the source has $\lambda = 6.5 \times 10^{-7} \, m$ and the distance between the two slits is $1 \, mm$. The distance between the screen and the slits is $1 \, m$. The distance between the third dark fringe and the fifth bright fringe will be ......... $mm$.

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In a Young's double slit experiment,two slits are separated by $2 \, mm$ and the screen is placed $1 \, m$ away. When light of wavelength $500 \, nm$ is used,the fringe separation will be ........ $mm$.

MediumJEE MAIN 2021

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In Young's double slit arrangement, slits are separated by a gap of $0.5 \, mm$, and the screen is placed at a distance of $0.5 \, m$ from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a monochromatic light of $5890 \, \text{Å}$ is

DifficultJEE MAIN 2021

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Who was the first to study the phenomenon of interference of light?

In a Young's double slit experiment,two slits are separated by $2 \, mm$ and the screen is placed $1 \, m$ away. When light of wavelength $500 \, nm$ is used,the fringe separation will be ........ $mm$.

In Young's double slit arrangement, slits are separated by a gap of $0.5 \, mm$, and the screen is placed at a distance of $0.5 \, m$ from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a monochromatic light of $5890 \, \text{Å}$ is

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