(C) The optical path length of a ray in a medium of refractive index $\mu$ and length $L$ is given by $\Delta x = \mu L$.For the two rays,the optical

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$\frac{2 \pi(\mu_1-\mu_2) L}{\lambda}$

(C) The optical path length of a ray in a medium of refractive index $\mu$ and length $L$ is given by $\Delta x = \mu L$.For the two rays,the optical path lengths are $\mu_1 L$ and $\mu_2 L$ respectively.The path difference between the emerging rays is $\Delta = |\mu_1 L - \mu_2 L| = (\mu_1 - \mu_2) L$.The relationship between phase difference $\phi$ and path difference $\Delta$ is given by $\phi = \frac{2 \pi}{\lambda} \Delta$.Substituting the value of path difference,we get $\phi = \frac{2 \pi}{\lambda} (\mu_1 - \mu_2) L$.

Class 12 Physics Ray Optics and Optical Instruments Refraction through Plane Surface and Glass Slab

Medium

Two light rays initially in the same phase travel through two media of equal length $L$ having refractive indices $\mu_1$ and $\mu_2$ (where $\mu_1 > \mu_2$) as shown in the figure. If the wavelength of the light rays in air is $\lambda$,the phase difference of the emerging rays is given by:

A
$\frac{L \mu_1}{\lambda \mu_2}$
B
$\frac{(\mu_1-\mu_2) L}{2 \pi \lambda}$
C
$\frac{2 \pi(\mu_1-\mu_2) L}{\lambda}$
D
$0$

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Ray Optics and Optical Instruments

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Refraction through Plane Surface and Glass Slab

$A$ fish at a depth of $12 \, cm$ in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised? $....... \, cm$ (Refractive index of lake water $= 4/3$)

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$A$ parallel-sided block of glass with a refractive index of $1.5$ and a thickness of $36 \, mm$ rests on the floor of a tank filled with water (refractive index $= 4/3$). The difference between the apparent depth of the floor at $A$ (where the glass block is present) and $B$ (where only water is present) when seen from vertically above is equal to $....... \, mm$.

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The lower half of a vessel of depth $2d \text{ cm}$ is filled with a liquid of refractive index $\mu_1$ and the upper half with a liquid of refractive index $\mu_2$. The apparent depth of the vessel seen perpendicularly is

MediumAP EAMCET 2020

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When the same monochromatic ray of light travels through a glass slab and through water,the number of waves in a glass slab of thickness $5 \ cm$ is the same as in a water column of height $6 \ cm$. If the refractive index of glass is $1.56$,then the refractive index of water is:

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$A$ ray of light is incident on a parallel slab of thickness $t$ and refractive index $n$. If the angle of incidence $\theta$ is small,then the lateral displacement between the incident and emergent ray will be:

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Two light rays initially in the same phase travel through two media of equal length $L$ having refractive indices $\mu_1$ and $\mu_2$ (where $\mu_1 > \mu_2$) as shown in the figure. If the wavelength of the light rays in air is $\lambda$,the phase difference of the emerging rays is given by:

Similar Questions

$A$ fish at a depth of $12 \, cm$ in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised? $....... \, cm$ (Refractive index of lake water $= 4/3$)

The lower half of a vessel of depth $2d \text{ cm}$ is filled with a liquid of refractive index $\mu_1$ and the upper half with a liquid of refractive index $\mu_2$. The apparent depth of the vessel seen perpendicularly is

When the same monochromatic ray of light travels through a glass slab and through water,the number of waves in a glass slab of thickness $5 \ cm$ is the same as in a water column of height $6 \ cm$. If the refractive index of glass is $1.56$,then the refractive index of water is:

$A$ ray of light is incident on a parallel slab of thickness $t$ and refractive index $n$. If the angle of incidence $\theta$ is small,then the lateral displacement between the incident and emergent ray will be:

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