(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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Ray Optics and Optical Instruments

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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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$A$ glass slab of thickness $4 \,cm$ contains the same number of waves as in $x \,cm$ of water column when both are traversed by the same monochromatic light. If the refractive indices of glass and water for that light are $\frac{5}{3}$ and $\frac{4}{3}$ respectively,the value of $x$ will be

If the velocity of light in vacuum is $3 \times 10^{8} \text{ m/s}$, the time taken (in nanoseconds) to travel through a glass plate of thickness $10 \text{ cm}$ and refractive index $1.5$ is:

$A$ rectangular glass block is placed on a mark made on the surface of a table and is viewed from a vertical direction. If the refractive index of the glass is $\mu$ and its thickness is $d$,by what distance will the mark appear to be raised?

$A$ printed page is kept pressed by a transparent cube of edge $t$. The refractive index of the cube varies as $\mu(z) = 1 + \frac{z}{t}$, where $z$ is the vertical distance from the bottom of the cube. If viewed from the top, then the printed letters appear to be shifted by an amount

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