As the position of an object (u) reflected from a concave mirror is varied, the position of the image (v) also varies. By letting the u change from 0 to infinity, the graph between v versus u will be-

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Reflection at spherical surface
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The graph between u and v for a convex mirror is

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Reflection at spherical surface
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A glass prism $\left(\mu =1.5\right)$ is dipped in water $\left(\mu =4/3\right)$ as shown in figure. A light ray is incident normally on the surface AB. It reaches the surface BC after totally reflected, if

(a)                             (b)

(c)                             (d) It is not possible

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Total internal reflection
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A convex lens A of focal length 20 cm and a concave lens B of focal length 5 cm are kept along the same axis with the distance d between them. If a parallel beam of light falling on A leaves B as a parallel beam, then distance d in cm will be

(a) 25                         (b) 15

(c) 30                          (d) 50

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Lenses
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A medium shows relation between i and r as shown. If speed of light in the medium is nc then value of n is

(a)   1.5

(b)   2

(c)   2–1

(d)   3–1/2

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Refraction at plane surface
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For a concave mirror, if the virtual image is formed, the graph between m and u is of the form :

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Reflection at spherical surface
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For a convex lens, the distance of the object is taken on X-axis and the distance of the image is taken on Y-axis, the nature of the graph so obtained is :

(a) Straight line                      (b) Circle

(c) Parabola                           (d) Hyperbola

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Lenses
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The diameter of a plano-convex lens is 6 cm and thickness at the centre is 3 mm. If the speed of light in the material of the lens is $2×{10}^{8}m}{sec}$, the focal length of the lens is

(a) 15 cm                         (b) 20 cm

(c) 30 cm                         (d) 10 cm

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Lenses
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A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lens, a convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it?

(a) 12 cm                              (b) 30 cm

(c) 50 cm                              (d) 60 cm

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Lenses
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Shown in the figure here is a convergent lens placed inside a cell filled with a liquid. The lens has focal length + 20 cm when in air and its material has refractive index 1.50. If the liquid has refractive index 1.60, the focal length of the system is

(a) + 80 cm                         (b) – 80 cm

(c) – 24 cm                          (d) –160 cm

Concept Questions :-

Lensmakers' formula