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What is the motion parallax?

Important Questions on Reflection of Light

HARD
Define focal length of a concave mirror. Prove that the radius of curvature of a concave mirror is double its focal length. 
 
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The focal length f is related to the radius of curvature r of the spherical convex mirror by:
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An object is placed at a distance of 40 cm in front of a concave mirror of focal length 20 cm. The image produced is
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If the focal length of a spherical mirror is 12.5 cm, its radius of curvature will be:
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If R is the radius of curvature of a spherical mirror and f is its focal length, then:
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Assertion: Light from an object falls on a concave mirror forming a real image. The complete system is submerged deep inside water then image will be formed at the same position relative to the mirror.

Reason: Formation of image by reflection does not depend on surrounding medium, provided it is also formed inside surrounding medium.
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The focal length of a convex mirror of radius of curvature 30 cm is_____.
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If the focal length of a convex mirror is 60 cm, its radius of curvature will be
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Assertion: Light from an object falls on a concave mirror forming a real image of the object. If both the object and mirror are immersed in water, there is no change in position of the image.

Reason: The formation of image by reflection does not depend on surrounding medium, so there is no change in position of image.
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If R is the radius of curvature of a mirror and f is its focal length then.

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A lens of refractive index n is put in a liquid of refractive index n. If focal length of lens in air is f, its focal length in liquid will be
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The relation between the radius of curvature and focal length of a spherical mirror is-
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Assertion: Paraxial rays are parallel to axis of mirror or lens.

Reason: A parallel beam close to principle axis converges at the focal point.
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The focal length of a spherical mirror of radius of curvature 30 cm is:
MEDIUM

Which of the following (with reference to a spherical mirror) do (does) not depend on whether the rays are paraxial or not?

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Assertion: Focal length of spherical mirror is maximum for violet.

Reason: Focal length of spherical mirror remains same for all the wavelengths.
HARD
Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal d (where d < f1, d < f2) and their centres are displaced by a vertical separation Δ as shown in the figure.

                                                Question Image

Taking the origin of coordinates, O, at the centre of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by
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Which of the following relations is true for spherical mirrors?
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The focal length f of a spherical (concave or convex) mirror of radius of curvature R is

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The radius of curvature of a spherical mirror is always _____ (equal to/ twice/ thrice) its focal length.