(B) Let the actual distance of the bubble from one side be $x$. Then the distance from the opposite side is $(24 - x)$.Using the formula for apparent

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(B) Let the actual distance of the bubble from one side be $x$. Then the distance from the opposite side is $(24 - x)$.Using the formula for apparent depth: $d_{\text{apparent}} = \frac{d_{\text{actual}}}{\mu}$.For the first side: $12 = \frac{x}{\mu} \implies x = 12\mu$.For the second side: $4 = \frac{24 - x}{\mu} \implies 24 - x = 4\mu$.Substituting $x = 12\mu$ into the second equation:$24 - 12\mu = 4\mu$.$24 = 16\mu$.$\mu = \frac{24}{16} = 1.5 = \frac{3}{2}$.

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

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An ice cube has a bubble inside. When viewed from one side,the apparent distance of the bubble is $12 \ cm$. When viewed from the opposite side,the apparent distance of the bubble is observed as $4 \ cm$. If the side of the ice cube is $24 \ cm$,the refractive index of the ice cube is $.....$.

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A
$4/3$
B
$3/2$
C
$2/3$
D
$6/5$

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Class 12

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Ray Optics and Optical Instruments

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Refraction through Plane Surface and Glass Slab

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$(ii)$ with the curved face in contact with the paper.
In each case,the cross mark is viewed directly from above. The positions of the images will be:

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$A$ light ray enters a rectangular glass slab of refractive index $\sqrt{3}$ at an angle of incidence of $60^{\circ}$. It travels a distance of $5 \, cm$ inside the slab and emerges out. What is the perpendicular distance between the incident and emergent ray?

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The time taken by sunlight to cross a $5 \,mm$ thick glass plate $(\mu = 3/2)$ is

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$A$ point object is placed at a distance of $25 \, cm$ from a convex lens of focal length $20 \, cm$. If a glass slab of thickness $t$ and refractive index $1.5$ is inserted between the lens and the object,the image is formed at infinity. The thickness $t$ is....$cm$.

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An ice cube has a bubble inside. When viewed from one side,the apparent distance of the bubble is $12 \ cm$. When viewed from the opposite side,the apparent distance of the bubble is observed as $4 \ cm$. If the side of the ice cube is $24 \ cm$,the refractive index of the ice cube is $.....$.

Similar Questions

$A$ coin is placed at the bottom of an empty beaker and is focused by a microscope. When water is poured into the beaker to a height of $10 \, cm$,how much must the microscope be moved to focus it again?

$A$ light ray enters a rectangular glass slab of refractive index $\sqrt{3}$ at an angle of incidence of $60^{\circ}$. It travels a distance of $5 \, cm$ inside the slab and emerges out. What is the perpendicular distance between the incident and emergent ray?

The time taken by sunlight to cross a $5 \,mm$ thick glass plate $(\mu = 3/2)$ is

$A$ point object is placed at a distance of $25 \, cm$ from a convex lens of focal length $20 \, cm$. If a glass slab of thickness $t$ and refractive index $1.5$ is inserted between the lens and the object,the image is formed at infinity. The thickness $t$ is....$cm$.

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