Questions in Ray Optics and Optical Instruments

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When light is refracted from air into glass
A mark at the bottom of a liquid appears to rise by 0.1 m. The depth of the liquid is 1 m. The refractive index of the liquid is
A man standing in a swimming pool looks at a stone lying at the bottom. The depth of the swimming pool is h. At what distance from the surface of water is the image of the stone formed (Line of vision is normal; Refractive index of water is n)
On heating a liquid, the refractive index generally
If $\hat{i}$ denotes a unit vector along incident light ray, $\hat{r}$ a unit vector along refracted ray into a medium of refractive index $\mu $ and $\hat{n}$ unit vector normal to boundary of medium directed towards incident medium, then law of refraction is
The bottom of a container filled with liquid appear slightly raised because of
The speed of light in air is $3\times {{10}^{8}}\,\,m/s$. What will be its speed in diamond whose refractive index is 2.4
Time taken by the sunlight to pass through a window of thickness 4 mm whose refractive index is 1.5 is
Ray optics is valid, when characteristic dimensions are
The refractive index of water is 1.33. What will be the speed of light in water

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