Questions in Ray Optics and Optical Instruments

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The critical angle for a medium is ${{60}^{o}}$. The refractive index of the medium is
Glass has refractive index $\mu$ with respect to air and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with angle of incidence $\theta$, the corresponding angle of refraction is
White light is incident on the interface of glass and air as shown in the figure. If green light is just totally internally reflected then the emerging ray in air contains Question Image
Material A has critical angle ${{i}_{A}},$ and material B has critical angle ${{i}_{B}}({{i}_{B}}>{{i}_{A}}).$ Then which of the following is true (i) Light can be totally internally reflected when it passes from B to A (ii) Light can be totally internally reflected when it passes from A to B (iii) Critical angle for total internal reflection is ${{i}_{B}}-{{i}_{A}}$ (iv) Critical angle between A and B is ${{\sin }^{-1}}\left( \frac{\sin {{i}_{A}}}{\sin {{i}_{B}}} \right)$
In the figure shown, for an angle of incidence ${{45}^{o}},$ at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face Question Image
Critical angle for light going from medium (i) to (ii) is $\theta$. The speed of light in medium (i) is $v$ then speed in medium (ii) is
If light travels a distance x in ${{t}_{1}}$sec in air and 10 x distance in ${{t}_{2}}$sec in a medium, the critical angle of the medium will be
The critical angle of a medium with respect to air is ${{45}^{o}}$. The refractive index of medium is
An endoscope is employed by a physician to view the internal parts of a body organ. It is based on the principle of
A normally incident ray reflected at an angle of ${{90}^{o}}$. The value of critical angle is

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