HARD
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Three plane mirrors form an equilateral triangle with each side of length L. There is a small hole at a distance l>0 from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle θ and can only come out through the same hole. The cross section of the mirror configuration and the ray of light lie on the same plane.

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Which of the following statement(s) is(are) correct?

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Important Questions on Ray Optics

EASY
Distinguish between the inverted image and laterally inverted image.
EASY

If the object is at a distance of 3 cm from the plane mirror, then the distance of the image will be:

EASY
State any three characteristics of image formed by a plane mirror.
MEDIUM
A man of height H stands at a distance D from a mirror fixed on the wall. His eye level is at the same height as the top edge of the mirror. What must be the minimum length L of the mirror so that he can see his entire body in the mirror? You can assume that the eye-level is the same as the top of his head.
EASY
What is the minimum size of mirror required for a 6ft tall person to be able to see a full length image?
MEDIUM

Vimal combs her hair is front of a plane mirror. Write two characteristics of her image.

EASY

How can you identify a plane, concave and convex mirror by observing image formation?

HARD
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 n1 and n2>n1,  as shown in the figure. A ray of light is incident with angle θi from medium 1 and emerges in medium 2 with refraction angle θf with a lateral displacement l . Which of the following statement(s) is (are) true?
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MEDIUM
Two plane mirrors M1 and M2 are at right angle to each other shown. A point source P is placed at a and 2a meter away from M1 and M2 respectively. The shortest distance between the images thus formed is : (Take 5=2.3)
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EASY

Image formed by a plane mirror is erect, virtual and _____.

MEDIUM
A ray of light wavelength λ0 and frequency v0 enters a glass slab of refractive index μ  from air. Then,
EASY
Two plane mirrors are inclined to each other at an angle of 60°. A point object is placed in between them. The total number of images produced by both the mirrors is
MEDIUM
Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror]
  Column 1   Column 2
(A) m=-2 (a) Convex mirror
(B) m=-12 (b) Concave mirror
(C) m=+2 (c) Real image
(D) m=+12 (d) Virtual image
EASY
State two characteristics of image formed in a plane mirror.
HARD
A plano-convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is (are) true?
MEDIUM
A light wave is incident normally on a glass slab of refractive index 1.5. If 4% of light gets reflected and the amplitude of the electric field of the incident light is 30 Vm, then the amplitude of the electric field for the wave propagating in the glass medium will be:
HARD
The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of the cornea (7.8 mm). This surface separates two media of refractive indices 1 and 1.34. Calculate the distance from the refracting surface at which a parallel beam of light will come to focus.
EASY

Write any three differences between plane and convex mirror.

EASY
A girl is standing 7 m from a plane mirror. The distance of the girl from her image in the mirror is
HARD

Two plane mirrors are kept on a horizontal table making an angle θ with each other as shown schematically in the figure. The angle θ is such that any ray of light reflected after striking both the mirrors return parallel to its incident path. For this to happen, the value of θ should be

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