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You are given three lenses `L_1,L_2 and L_3` each of focal length 10 cm. An object is kept at 15 cm in front of `L_1` as shown. The final real image is formed at the focus `I` of `L_3` . Find the separation between `L_1, L_2 and
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A convex lens made up of a glass of refractive index 1.5 is dipped in turn in (i) a medium of refractive index 1.65 (ii) a medium of refractive index 1.33 (a) Will it behave as a converging lens or a diverging lens in the two cases? (b) How will its focal length change in the two
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Use the mirror equation to show that (i) An object placed between `f` and `2f` of a concave mirror produces a real image beyond `2f`. (ii) A convex mirror always produces a virtual image independent of the location of the object. (iii) An object placed between the pole and focus of a concave mirror produces a virtual and enlarged
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A converging lens has a focal length of 20 cm in air. It is made of a material of refractive index 1.6. It is immersed in a liquid of refractive index 1.3. Calculate its new focal
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Find the position of the image formed of the object O by the lens combination given in the
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State the necessary conditions for producing total internal reflection of light. Draw ray diagrams to show how specially designed prisms make use of total internal reflection to obtain inverted image of the object by deviation of rays (i) through 90° and (ii) through
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With the help of a suitable ray diagram, derive a relation between the object distance (u), image distance (v) and radius of curvature R for the convex spherical surface when a ray of light travels from a rarer to denser
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A ray of light is incident on one face of a glass prism and emerges out from the other face. Trace the path of the ray and derive an expression for refractive index of the glass
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The image obtained with a convex lens is erect and its length is four times the length of the object. If the focal length of the lens is 20 cm, calculate the object and image
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A convex lens is used to obtain a magnified image of an object on a screen 10 cm from the lens. If the magnification is 19, find the focal length of the
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(i) How is the focal length of a spherical mirror affected when the wavelength of the light used is increased? (ii) A convex lens has 20 cm focal length in air. What is its focal length in water? (Refractive index of air-water = 1.33, refractive index of air-glass =
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(i) How is the focal length of a spherical mirror affected when it is immersed in water? (ii) A convex lens has 10 cm focal length in air. What is its focal length in water? (Refractive index of air-water = 1.33, refractive index of air-glass =
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An object of 3 cm height is placed at a distance of 60 cm from a convex mirror of focal length 30 cm. Find the nature, position and size of the image
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An object of 2 cm height is placed at a distance of 30 cm from a convex mirror of focal length 15 cm. Find the nature, position and size of the image
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(i) With the help of a suitable ray diagram, derive the mirror formula for a concave mirror. (ii) The near point of a hypermetropic person is 50 cm from the eye. What is the power of the lens required to enable the person to read clearly a book held at 25 cm from the
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Three light rays, red (R) green (G) and blue (B) are incident on a right angled prism AB C at face AB. The , refractive indices of the material of the prism for red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. Out of the three, which colour of ray will emerge out of face AC? Justify your answer. Trace the path of these rays after passing through face
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State the conditions under which total internal reflection occurs. One face of a prism with a refracting angle of 30° is coated with silver. A rayincident on another face at an angle of 45° is refracted and reflected from the silver coated face and retraces its path. Find the refractive index of the material of the
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A tank is filled with water to a height of 12.4 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.3 cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1 .6 up to the same height, by what distance would the microscope have to be moved to focus on the needle
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The velocity of a certain monochromatic light in a given transparent medium is `2.225 xx10^8` m/s. What is the (i) critical angle of incidence (ii) polarising angle for this
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When a ray of light passes through a triangular glass prism, find out the relation for the total deviation, `delta` in terms of the angle of incidence, i and angle of emergence, e. Plot a graph showing the variation of angle of deviation with the angle of incidence and obtain the condition for the angle of minimum
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