Questions in Ray Optics and Optical Instruments

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The phenomena of total internal reflection is seen when angle of incidence is
A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is $\frac{4}{3}$ and the fish is $12 cm$ below the surface, the radius of this circle in cm is
A point source of light is placed 4 m below the surface of water of refractive index 5 / 3. The minimum diameter of a disc which should be placed over the source on the surface of water to cut–off all light coming out of water is
A fist looking from within water sees the outside world through a circular horizon. If the fish $\sqrt{7}$cm below the surface of water, what will be the radius of the circular horizon
The radius of curvature for a convex lens is $40 cm$, for each surface. Its refractive index is $1.5$. The focal length will be
A convex lens of focal length $f$ is placed somewhere in between an object and a screen. The distance between the object and the screen is $x$. If the numerical value of the magnification produced by the lens is $m,$, then the focal length of the lens is
A thin lens focal length ${{f}_{1}}$ and its aperture has diameter d. It forms an image of intensity I. Now the central part of the aperture upto diameter $\frac{d}{2}$ is blocked by an opaque paper. The focal length and image intensity will change to
A lens of power + 2 diopters is placed in contact with a lens of power – 1 diopter. The combination will behave like
A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of combination is
Two lenses are placed in contact with each other and the focal length of combination is 80 cm. If the focal length of one is 20 cm, then the power of the other will be

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