(A) In $YDSE$,the position of the $n^{\text{th}}$ bright fringe from the central maximum is given by the formula:$y_n = \frac{n \lambda D}{d}$Here,$n$

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(A) In $YDSE$,the position of the $n^{\text{th}}$ bright fringe from the central maximum is given by the formula:$y_n = \frac{n \lambda D}{d}$Here,$n$,$D$,and $d$ are constant for the same fringe order.Therefore,the position $y$ is directly proportional to the wavelength $\lambda$ $(y \propto \lambda)$.Given:$y_1 = 10 \ mm$,$\lambda_1 = 600 \ nm$$\lambda_2 = 660 \ nm$Using the ratio:$\frac{y_2}{y_1} = \frac{\lambda_2}{\lambda_1}$$\frac{y_2}{10 \ mm} = \frac{660 \ nm}{600 \ nm}$$y_2 = 10 \times \frac{660}{600} \ mm$$y_2 = 10 \times 1.1 \ mm = 11 \ mm$Thus,the distance of the $10^{\text{th}}$ bright fringe is $11 \ mm$.

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

Medium

$A$ double slit interference experiment performed with a light of wavelength $600 \ nm$ forms an interference fringe pattern on a screen with $10^{\text{th}}$ bright fringe having its centre at a distance of $10 \ mm$ from the central maximum. The distance of the centre of the same $10^{\text{th}}$ bright fringe from the central maximum when the source of light is replaced by another source of wavelength $660 \ nm$ would be . . . . . . $mm$.

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A
$11$
B
$12$
C
$21$
D
$31$

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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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$A$ mixture of light,consisting of wavelengths $590 \ nm$ and an unknown wavelength,illuminates Young's double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide. Further,it is observed that the $3^{rd}$ bright fringe of the known light coincides with the $4^{th}$ bright fringe of the unknown light. From this data,the wavelength of the unknown light is ...... $nm$.

MediumAIEEE 2009

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In a Young's double-slit experiment,the slits are separated by $0.28 \; mm$ and the screen is placed $1.4 \; m$ away. The distance between the central bright fringe and the fourth bright fringe is measured to be $1.2 \; cm$. Determine the wavelength of light used in the experiment (in $nm$).

Medium

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In Young's double-slit experiment,monochromatic light is used to illuminate the two slits $A$ and $B$. Interference fringes are observed on a screen placed in front of the slits. If a thin glass plate is placed normally in the path of the beam coming from slit $A$,then:

Medium

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In a Young's double slit experiment,green light is incident on the two slits. The interference pattern is observed on a screen. Which of the following changes would cause the observed fringes to be more closely spaced?

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In Young's double-slit experiment,the distance between the two slits is $3 \, cm$,the distance from the slits to the screen is $7 \, cm$,and the wavelength of light used is $1000 \, \mathring{A}$. Calculate the fringe width.

Medium

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In a Young's double-slit experiment,the slits are separated by $0.28 \; mm$ and the screen is placed $1.4 \; m$ away. The distance between the central bright fringe and the fourth bright fringe is measured to be $1.2 \; cm$. Determine the wavelength of light used in the experiment (in $nm$).

In Young's double-slit experiment,monochromatic light is used to illuminate the two slits $A$ and $B$. Interference fringes are observed on a screen placed in front of the slits. If a thin glass plate is placed normally in the path of the beam coming from slit $A$,then:

In a Young's double slit experiment,green light is incident on the two slits. The interference pattern is observed on a screen. Which of the following changes would cause the observed fringes to be more closely spaced?

In Young's double-slit experiment,the distance between the two slits is $3 \, cm$,the distance from the slits to the screen is $7 \, cm$,and the wavelength of light used is $1000 \, \mathring{A}$. Calculate the fringe width.

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