(A) When a transparent slab of thickness $t$ and refractive index $\mu$ is placed in the path of one of the interfering beams,the path difference intr

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(A) When a transparent slab of thickness $t$ and refractive index $\mu$ is placed in the path of one of the interfering beams,the path difference introduced is $\Delta x = t(\mu - 1)$.For the central fringe to remain at the same position,the path difference introduced by the first slab must be equal to the path difference introduced by the second slab.Let $t_1 = 1.2 \, \mu m$,$\mu_1 = 1.5$ and $t_2 = t$,$\mu_2 = 2.5$.Equating the path differences:$t_1(\mu_1 - 1) = t_2(\mu_2 - 1)$Substituting the given values:$1.2 \times (1.5 - 1) = t \times (2.5 - 1)$$1.2 \times 0.5 = t \times 1.5$$0.6 = 1.5t$$t = \frac{0.6}{1.5} = \frac{6}{15} = 0.4 \, \mu m$.

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

Medium

In a Young's double-slit experiment,a glass slab of thickness $1.2 \, \mu m$ and refractive index $1.5$ is placed in front of one slit. Another slab of thickness $t$ and refractive index $2.5$ is placed in front of the other slit. If the position of the central fringe remains unchanged,then the thickness $t$ is equal to $...... \, \mu m$.

A
$0.4$
B
$0.8$
C
$1.2$
D
$7$

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Variations in YDSE (Young's Double Slit Experiment)

$A$ monochromatic beam of light falls on a $YDSE$ apparatus at an angle $\theta$ as shown in the figure. $A$ thin sheet of glass of thickness $t$ and refractive index $\mu$ is inserted in front of the lower slit $S_2$. The central bright fringe (path difference $= 0$) will be obtained:

Medium

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In a double slit experiment,when light of wavelength $400 \; nm$ was used,the angular width of the first minima formed on a screen placed $1 \; m$ away was found to be $0.2^{\circ}$. What will be the angular width of the first minima if the entire experimental apparatus is immersed in water (in $^{\circ}$)? $(\mu_{water} = 4/3)$

MediumNEET 2019

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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:

MediumIIT 2002

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$A$ parallel beam of light of wavelength $500 \ nm$ is incident at an angle $30^o$ with the normal to the slit plane in a Young's double-slit experiment. The intensity due to each slit is $I_o$. Point $O$ is equidistant from $S_1$ and $S_2$. The distance between the slits is $1 \ mm$.

Difficult

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When a glass plate of refractive index $1.44$ is introduced in the path of one of the interfering beams, the fringes are displaced by a distance '$y$'. If this plate is replaced by another plate of same thickness but of refractive index $1.66$, the fringes will be displaced by a distance

DifficultMHT CET 2026

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$A$ monochromatic beam of light falls on a $YDSE$ apparatus at an angle $\theta$ as shown in the figure. $A$ thin sheet of glass of thickness $t$ and refractive index $\mu$ is inserted in front of the lower slit $S_2$. The central bright fringe (path difference $= 0$) will be obtained:

$A$ parallel beam of light of wavelength $500 \ nm$ is incident at an angle $30^o$ with the normal to the slit plane in a Young's double-slit experiment. The intensity due to each slit is $I_o$. Point $O$ is equidistant from $S_1$ and $S_2$. The distance between the slits is $1 \ mm$.

When a glass plate of refractive index $1.44$ is introduced in the path of one of the interfering beams, the fringes are displaced by a distance '$y$'. If this plate is replaced by another plate of same thickness but of refractive index $1.66$, the fringes will be displaced by a distance

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