(A) In $YDSE$,the path difference at the central point $(y=0)$ is $\Delta x = 0$ for all wavelengths.Since the condition for constructive interference

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Statement-$1$ is True,Statement-$2$ is True; Statement-$2$ is a correct explanation for Statement-$1$.

(A) In $YDSE$,the path difference at the central point $(y=0)$ is $\Delta x = 0$ for all wavelengths.Since the condition for constructive interference is $\Delta x = n\lambda$,for $n=0$,$\Delta x = 0$ is satisfied for all wavelengths $\lambda$ present in white light.Therefore,all wavelengths produce their zero-order maxima at the central point $(y=0)$.Since all colors overlap at the center,they combine to form a white fringe.Thus,Statement-$1$ is True,Statement-$2$ is True,and Statement-$2$ is the correct explanation for Statement-$1$.

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

Medium

Statement-$1$: If white light is used in $YDSE$,then the central bright fringe will be white.
Statement-$2$: In the case of white light used in $YDSE$,all the wavelengths produce their zero-order maxima at the same position.

A
Statement-$1$ is True,Statement-$2$ is True; Statement-$2$ is a correct explanation for Statement-$1$.
B
Statement-$1$ is True,Statement-$2$ is True; Statement-$2$ is not a correct explanation for Statement-$1$.
C
Statement-$1$ is True,Statement-$2$ is False.
D
Statement-$1$ is False,Statement-$2$ is True.

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Wave Optics

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Young's Double Slit Experiment (YDSE)

If the Young's double slit experiment is performed with white light,then which of the following is not true?

Medium

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In the ideal double-slit experiment,when a glass plate (refractive index $\mu = 1.5$) of thickness $t$ is introduced in the path of one of the interfering beams (wavelength $\lambda$),the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass plate is:

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In a Young's double slit experiment,the ratio of the slit widths is $4 : 1$. The ratio of the intensity of maxima to minima,close to the central fringe on the screen,will be

MediumJEE MAIN 2019

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In a Young's double-slit experiment,the light beam consists of two wavelengths $6500 \, \mathring A$ and $5200 \, \mathring A$. The distance between the slits is $2 \, mm$ and the distance between the plane of the slits and the screen is $120 \, cm$. Find the distance of the third bright fringe from the central maximum for the wavelength $6500 \, \mathring A$ in $mm$.

Medium

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In the Young's double slit experiment,the distance between the slits varies in time as $d(t) = d_{0} + a_{0} \sin \omega t$; where $d_{0}$,$\omega$,and $a_{0}$ are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as:

DifficultJEE MAIN 2021

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Statement-$1$: If white light is used in $YDSE$,then the central bright fringe will be white.Statement-$2$: In the case of white light used in $YDSE$,all the wavelengths produce their zero-order maxima at the same position.

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If the Young's double slit experiment is performed with white light,then which of the following is not true?

In a Young's double slit experiment,the ratio of the slit widths is $4 : 1$. The ratio of the intensity of maxima to minima,close to the central fringe on the screen,will be

In the Young's double slit experiment,the distance between the slits varies in time as $d(t) = d_{0} + a_{0} \sin \omega t$; where $d_{0}$,$\omega$,and $a_{0}$ are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as:

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Statement-$1$: If white light is used in $YDSE$,then the central bright fringe will be white.
Statement-$2$: In the case of white light used in $YDSE$,all the wavelengths produce their zero-order maxima at the same position.