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Page 1: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 2: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

with

ABHISHEK K RB.Tech - Aerospace, Alliance UniversityCBSE Expert | Inventor of RocketPro6+ Years Teaching Exp | Mentored more than 5000 studentsHelped 1000s of students get 10 CGPA in CBSE X

Focus of Concave & Convex Mirrors

Source: https://gifer.com

/en/DLB

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Page 3: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 4: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 5: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Ray Diagrams of Convex Mirrors

Focus

Sign Convention of Mirrors & Mirror Formula

Refraction and Refractive Index

Standard Incident Rays

Ray Diagrams of Concave Mirrors

Page 6: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Ray Diagrams of Concave & Convex Lenses

Sign Convention of Lenses & Lens Formula

Numericals on Mirrors, Lenses & Refractive Index

Page 7: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Ray Diagrams of Convex Mirrors

Focus

Sign Convention of Mirrors & Mirror Formula

Refraction and Refractive Index

Standard Incident Rays

Ray Diagrams of Concave Mirrors

Page 8: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Ray Diagrams of Concave & Convex Lenses

Sign Convention of Lenses & Lens Formula

Numericals on Mirrors, Lenses & Refractive Index

Page 9: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 10: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Convex Mirror Concave Mirror

A B

Q1. A mirror with its reflecting surface curved inwards is called

Plane mirror

C

None of the above

D

Page 11: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Convex Mirror Concave Mirror

A B

Q1. A mirror with its reflecting surface curved inwards is called

Plane mirror

C

None of the above

D

Page 12: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Convex mirror Concave mirror

Plane mirror

None of the above

A B

C D

Q2. If size of the image is not same as size of the object then, it is not a

Page 13: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Convex mirror Concave mirror

Plane mirror

None of the above

A B

C D

Q2. If size of the image is not same as size of the object then, it is not a

Page 14: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

PoleCentre of curvature

Principal axis

Aperture

A B

C D

Q3. The entire reflecting area of mirror is called?

Page 15: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

PoleCentre of curvature

Principal axis

Aperture

A B

C D

Q3. The entire reflecting area of mirror is called?

Page 16: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 17: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

ANSWER : Pole

Q6. Midpoint of the aperture of a mirror is called ……..

Page 18: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 19: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 20: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

FOCUS

Page 21: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Let’s consider an incident ray in a concave mirror?

Incident ray

Concave mirror

C

Page 22: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Where would the reflected ray go?

1

2

3

?

??

C

Page 23: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Now let’s apply law of reflection to concave mirror

Incident ray

Concave mirror

C

What is angle of incidence?

Page 24: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Reflected ray & Normal

Incident ray & normal

A B

Angle of incidence is the angle between?

None of theseIncident ray and reflected ray

C D

Page 25: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Reflected ray & Normal

Incident ray & normal

A B

Angle of incidence is the angle between?

None of theseIncident ray and reflected ray

C D

Page 26: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Where is the normal in a concave mirror?

Incident ray

C

Page 27: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Normal of a plane mirror

Plane mirror

Normal

Page 28: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 29: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Concave mirror

Page 30: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 31: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Let’s draw a normal on a circle.

O

P

Page 32: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Normal is perpendicular to the tangent

P

ONorm

al

Normal passes through the centre

Page 33: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

So, we can easily find the direction of the reflected ray

C

B

Page 34: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

So, we can easily find the direction of the reflected ray

C

B

BC is the normal

Page 35: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

So, we can easily find the direction of the reflected ray

C

Bi

BC is the normal

Measure i

Page 36: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

So, we can easily find the direction of the reflected ray

BC is the normal

Measure iDraw r at point B such that i = r

Page 37: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Let’s consider another ray

Page 38: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Let’s consider another ray

The ray passes through the same point on the principal axis

Page 39: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

All rays pass through the same point on the principal axis after reflection.

Page 40: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

All rays pass through the same point on the principal axis after reflection.

The point is called FOCUS and is denoted by F

F

Page 41: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

All the rays converge at one point .

Focus is a point at which rays of light meets after Reflection

Concave mirror → Converging mirror

F

Page 42: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Let’s consider convex mirror

C

Page 43: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Let’s consider convex mirror

Where will the reflected ray go?

C

Page 44: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Let’s consider convex mirror

Where will the reflected ray go?

C

ri

This is the reflected ray

Page 45: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

After reflection, they seem to spread out.- (DIVERGE)

Convex mirror → Diverging mirror

C

Page 46: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

To an observer it appears that rays are originating from a point behind the mirror.

CF

That is FOCUS in case of a convex mirror

Page 47: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

In Concave Mirror Focus is in front of the mirror.

In Convex Mirror Focus is behind the the mirror.

Page 48: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

In Concave Mirror Focus is in front of the mirror.

In Convex Mirror Focus is behind the the mirror.

Real Focus

Virtual Focus

Page 49: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Relation between R and F

Page 50: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

We Know focus lies on the principal axis.

Concave mirror

CP

F C

Convex mirror

FP

Page 51: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

What is the distance between pole and centre of curvature

Page 52: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

What is the distance between pole and centre of curvature

Page 53: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Similarly , distance between pole and focus is called Focal length. Denoted by ‘f ‘

Concave mirror

CP

F C

Convex mirror

FP

f f

Page 54: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Focal length is half the radius of curvature

Concave mirror

CP

F C

Convex mirror

FP

f fR R

Page 55: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Focal length is half the radius of curvature

Concave mirror

CP

F C

Convex mirror

FP

f fR R

F= R2

R = 2 F

Page 56: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

V I P

Page 57: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Q1. To draw a normal at point S, we should join point S to

Page 58: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

P Q

O S

A B

C D

Q1. To draw a normal at point S, we should join point S to

Page 59: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

P Q

O S

A B

C D

Q1. To draw a normal at point S, we should join point S to

Page 60: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

All the parallel rays meet at the same point after reflection

All the parallel rays converge after reflection

A ray parallel to the principal axis pass through the center of curvature after reflection

All the rays parallel to the principal axis meet at the focus

A

B

C

D

Q2. Which of the statements is not true about a concave mirror?

Page 61: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

All the parallel rays meet at the same point after reflection

All the parallel rays converge after reflection

A ray parallel to the principal axis pass through the center of curvature after reflection

All the rays parallel to the principal axis meet at the focus

A

B

C

D

Q2. Which of the statements is not true about a concave mirror?

Page 62: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

15 cm 20 cm

10 cm 5 cm

A B

C D

Q3. If focus is located 10 cm from the pole , What is the value of R ?

Page 63: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

15 cm 20 cm

10 cm 5 cm

A B

C D

Q3. If focus is located 10 cm from the pole , What is the value of R ?

Page 64: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

15 cm 10 cm

30 cm 60 cm

A B

C D

Q4. If the radius of curvature of a convex mirror is 30 cm, What will be the focal length? [Boards 2011]

Page 65: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

15 cm 10 cm

30 cm 60 cm

A B

C D

Q4. If the radius of curvature of a convex mirror is 30 cm, What will be the focal length? [Boards 2011]

Page 66: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

100 cm Convex mirror

25 cm Convex mirror

25 cm Concave mirror

100 cm Concave mirror

A B

C D

Q5. The outer surface of a hollow sphere of aluminium of radius 50 cm is to be used as a mirror. What will be the focal length of this mirror? Which type of spherical mirror will it provide?

[Boards 2010]

Page 67: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

100 cm Convex mirror

25 cm Convex mirror

25 cm Concave mirror

100 cm Concave mirror

A B

C D

Q5. The outer surface of a hollow sphere of aluminium of radius 50 cm is to be used as a mirror. What will be the focal length of this mirror? Which type of spherical mirror will it provide?

[Boards 2010]

Page 68: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Q6. The point where rays parallel to principal axis meet after reflection is

Page 69: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 70: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 71: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 72: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 73: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror
Page 74: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

AKPRO

Page 75: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

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Page 76: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

Complete Curriculum

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Page 77: with¤क...Let’s consider convex mirror Where will the reflected ray go? C r i This is the reflected ray Af ter reflection, they seem to spre ad out.- (DIVERGE) Convex mirror

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