Optics
The critical angle of medium for specific wavelength, if the medium has relative permittivity $$3$$ and relative permeability $$\dfrac{4}{3}$$ for this wavelength, will be:
For a normal eye, the cornea of eye provides a converging power of 40 D and the least converging power of the eye lens behind the cornea is 20 D. Using this information, the distance between the retina and the cornea-eye lens can be estimated to be
$$\displaystyle P_{eff}=40\:D+20\:D=60\:D$$
$$\displaystyle f=\dfrac{100}{P_{eff}}$$
=> $$f=\dfrac{100}{60} = 1.67$$
The critical angle of medium for specific wavelength, if the medium has relative permittivity $$3$$ and relative permeability $$\dfrac{4}{3}$$ for this wavelength, will be:
A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is $$30cm$$ and the refractive index of the lens material is $$1.5$$, then the focal length of the lens (in cm) is ________.
An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification ($$m$$) versus distance of the object from the mirror ($$x$$) is correctly given by (Graphs are drawn schematically and are not to scale)
As the beam enters the medium, it will
An upright object is placed at a distance of $$40\ cm$$ in front of a convergent lens of focal length $$20\ cm$$. A convergent mirror of focal length $$10\ cm$$ is placed at a distance of $$60\ cm$$ on the other side of the lens. The position and size of the final image will be
One plano-convex and one plano-concave lens of same radius of curvature $$'R'$$ but of different materials are joined side by side as shown in the figure. If the refractive index of the material of $$1$$ is $$\mu_1$$ and that of $$2$$ is $$\mu_2$$ is:
A biconvex lens has a radius of curvature of magnitude $$20\ cm$$. Which one of the following options best describe the image formed of an object of height $$2\ cm$$ placed $$30\ cm$$ from the lens?
An air bubble in a glass with refractive index $$1.5$$ (near normal incidence) i.e. $$5\ cm$$ deep when viewed from one surface and $$3\ cm$$ deep when viewed from the opposite face. The thickness(in $$cm$$) of the is.
Which colour of the light has the longest wavelength ?
A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices $${ n }_{ 1 }$$ and $${ n }_{ 2 }$$ $$(>{ n }_{ 1 })$$, as shown in the figure. A ray of light incident with angle $${ \theta }_{ i }$$ from medium 1 and emerges in medium 2 with refraction angle $${ \theta }_{ f }$$ with lateral displacement $$l$$. Which of the following statement(s) is (are) true?