Optics Wave and Geometrical

Question 1

What is the relation between u,v and R for mirrors?

Answer 1

1/u + 1/v = 2/R since f=R/2
So, 1/u + 1/v = 1/f
; u = object distance 
v= image distance
f= focal length

Question 2

What is the conceptual form of lateral magnification?

Answer 2

Lateral Magnification = Height of Image/ Height of Object

Question 3

What is the formulaic form of lateral magnification?

Answer 3

Lateral Magnification is given by:
m= -v/u
; v = image distance
u = object distance

Question 4

What is the Lens Makers formula?

Answer 4

Lens Makers formula is given by:
1/f = (μ2/μ1 -1) (1/R1 - 1/R2)
; in case of air, μ1 = 1

Question 5

What are the 3 formulaic forms of magnification with lens

Answer 5

m = v/u
m = f-v/f
m= f/f+μ

Question 6

What is the conceptual form of power of a lens?

Answer 6

Power of a lens is given by P = 1/f

Question 7

What is the formulaic representation of equivalent focal length and power for 2 thin lens in contact?

Answer 7

Focal length is given by :1/F= 1/f1 + 1/f2

Power is given by: P = P1+ P2

Question 8

What is the formulaic representation of equivalent focal length and position of equivalent lens for two thin lenses separated by a distance d?

Answer 8

Focal length of two thin lenses seperated by a distance is given by:
1/F= 1/f1 + 1/f2 - d/f1f2
Position of equivalent lens is given by:
=dF/f1

Question 9

What is the resultant intensity wave equation of two waves of same frequency represented as?

Answer 9

y = R sin(ωt+θ)

Question 10

What is the formulaic representation of phase difference and path difference in constructive interference(maxima occurence)?

Answer 10

Phase Difference is given by:
Δ∅= 2mπ
Path difference is given by:
Δx = λ/2π x Δ∅ = λ/2π x 2mπ = mλ=0,λ,2λ.

Question 11

What is the formulaic representation of phase difference and path difference in destructive interference(minima occurence)?

Answer 11

Phase Difference is given by:
Δ∅= (2m-1)π
Path difference is given by:
Δx=λ/2π x Δ∅ = (2m-1) λ/2 = λ/2, 3λ/2…

Question 12

What is the formulaic form of path difference in Young’s Experiment?

Answer 12

Path difference = Xd/D
For Bright Fringe: Xd/D= mλ
For Dark Fringe: Xd/D=(m-1/2)λ

Question 13

What is the formulaic form of Fringe width?

Answer 13

Fringe Width is given by:

ω= Dλ/d

Question 14

What is the formulaic form of Angular Fringe width?

Answer 14

Angular Fringe Width θ= λ/d

Question 15

What is the formulaic form of Snell’s Law?

Answer 15

Snell’s Law is given by:
sin i/sin r= v1/v2 = μ2/μ1
; v1 and v2 are speeds of light in media 1 and 2
μ1 and μ2 are the refractive indices of media 1 and 2