A ray of light wavelength λ 0 and frequency v 0 enters a glass slab of refractive index μ from air. Then,

Δ λ = λ 0 1 μ - 1 and Δ v ⁡ = 0

Its wavelength increases, frequency decreases

Its wavelength increases, frequency remains same

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 = - 1 2 (b) Concave mirror (C) m = + 2 (c) Real image (D) m = + 1 2 (d) Virtual image

A → b and c; B → b and c; C → b and d; D → a and d

A → a and c; B → a and d; C → a and b; D → c and d

A → a and d; B → b and c; C → b and d; D → b and c

A → c and d; B → b and d; C → b and c; D → a and d

MEDIUM

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The aperture diameter of a spherical mirror is $D = η R$ where $η$ is a positive number less than $2$ and $R$ is radius of curvature of the mirror. Consider a wide parallel beam of light incident on the mirror parallel to its principal axis.

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Important Questions on Ray Optics

MEDIUM

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

A light wave is incident normally on a glass slab of refractive index

1.5 .

4 %

of light gets reflected and the amplitude of the electric field of the incident light is

30 \frac{V}{m},

then the amplitude of the electric field for the wave propagating in the glass medium will be:

HARD

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

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?

HARD

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

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

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

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

EASY

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

A convex mirror is placed inside water. Will its focal length change?

HARD

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length

f

, as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)
Question Image

HARD

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

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

n_{1} and n_{2} (> n_{1}),

as shown in the figure. A ray of light is incident with angle

θ_{i}

from medium 1 and emerges in medium 2 with refraction angle

θ_{f}

with a lateral displacement

l

. Which of the following statement(s) is (are) true?
Question Image

EASY

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

An air bubble in a glass slab with refractive index

1.5

(near-normal incidence) is

5 cm

deep when viewed from one surface and

3 cm

deep when viewed from the opposite face. The thickness (in

cm

) of the slab is

EASY

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

An object is placed

5 cm

in front of convex mirror whose radius of curvature is

3 cm

. Find the position and nature of image.

MEDIUM

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

A ray of light wavelength

λ_{0}

and frequency v₀ enters a glass slab of refractive index

μ

from air. Then,

HARD

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

Define focal length of a concave mirror. Prove that the radius of curvature of a concave mirror is double its focal length.

EASY

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

Find focal length of a spherical mirror of radius of curvature

10 cm

MEDIUM

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

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 lens is

2 \times 1 0^{8} m s^{- 1}

, the focal length of the lens is:

MEDIUM

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

A point source of light, $S$ is placed at a distance $L$ in front of the center of plane mirror of width $d$ which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance $2 L$ as shown below. The distance over which the man can see the image of the light source in the mirror is:

Question Image

MEDIUM

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

You are asked to design a shaving mirror assuming that a person keeps it at

10 cm

from his face and views the magnified image of the face at the closest comfortable distance of

25 cm

. The radius of curvature of the mirror would then be:

HARD

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

The image of an object, formed by a plano - convex lens at a distance of

8 m

behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is

\frac{2}{3}

times the wavelength in free space. The radius of the curved surface of the lens is

EASY

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

When the same monochromatic ray of light travels through glass slab and through water, the number of waves in glass slab of thickness

6 cm

is same as in water column of height

7 cm

. If refractive index of glass is

1.5

then refractive index of water is

MEDIUM

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

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)	$m = - \frac{1}{2}$	(b)	Concave mirror
(C)	$m = + 2$	(c)	Real image
(D)	$m = + \frac{1}{2}$	(d)	Virtual image

EASY

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

A ray of light parallel to the principal axis of a spherical mirror falls at a point $M$ as shown in the figure below:

Question Image

If the mirror is immersed in water, its focal length _____.

EASY

Physics>Optics>Ray Optics>Reflection and Refraction at Plane and Spherical Surfaces

Establish the relation between the focal length

(f)

and radius of curvature

(R)

The aperture diameter of a spherical mirror is D=ηR where η is a positive number less than 2 and R is radius of curvature of the mirror. Consider a wide parallel beam of light incident on the mirror parallel to its principal axis.

Important Questions on Ray Optics

Learn and Prepare for any exam you want !

The aperture diameter of a spherical mirror is $D = η R$ where $η$ is a positive number less than $2$ and $R$ is radius of curvature of the mirror. Consider a wide parallel beam of light incident on the mirror parallel to its principal axis.