ray optics

deviation if θ>i

δ= 360-2θ

height of the mirror required to see the full image of the man of height h

h/2

deviation if θ=i

no deviation

no of images formed when two plain mirrors are placed at an angle θ(even)

(360/θ)-1

no of images formed when two plain mirrors are placed at an angle θ(odd, symmetrical)

(360/θ)-1

no of images formed when two plain mirrors are placed at an angle θ(odd, unsymmetric)

(360/θ)

mirror formula

1/v + 1/u = 1/f

newton’s formula of finding focus(f)

√(x_i x_o)

snell’s law

μ₁sinθ₁= μ₂sinθ₂

magnification in mirror (use f and u)

f/(f-u)

magnification in mirror (use f and v)

(f-v)/f

lateral deviation of glass slab

{ t sin(i - r) } / cos r

lateral shift in small angle

t x i [1-(1/μ) ]

longitudnal shift

t [ 1-(1/μ) ]

magnification of mirror( use u and v)

-(v/u)

curved refraction

(μ₂/v) - (μ₁/u) = (_μ₂-μ₁)/R

lens maker formula

1/f = [ ( μ_lens / μ_medium ) - 1 ] [ (1/R₁) - (1/R₂) ]

focus for planoconcave lens

-R/(μ-1)

focus for planoconvex lens

R/(μ-1)

focus for biconcave lens

-R/(2(μ-1))

focus for biconvex lens

R/(2(μ-1))

lens formula

1/v - 1/u = 1/f

magnification of lens( use f and u)

f/(f+u)

μ when min deviation is given

sin[(δ_min+ A)/2] / sin[ (A/2)]

r₁+r₂=

angle of prism

δ in prism

i+e-A

dispersion angle (θ)

δ_b-δ_r = (μ_b- μ_r)A

dispersive power ()

(δ_b-δ_r)/(δ_avg-1) = (μ_b- μ_r)/(μ_avg-1)

no deviation formula

(μ_y1-1)A₁ = (μ_y2-1)A₂

no dispersion formula

(μ_b1- μ_r1)A₁ = (μ_b2- μ_r2)A₂

magnification of simple microscope (relax eye)

D/f

magnification of simple microscope (constrain eye)

1+(D/f)

magnification of compound microscope (relax eye)

(v_o/u_o)(D/f_e)

magnification of compound microscope (constrain eye)

(v_o/u_o)[1+(D/f_e)]

magnification of astronomical telescope (relax eye)

f_o/f_e

magnification of astronomical telescope (constrain eye)

(f_o/f_e)(1+(f_e/D))

length of telescope (relax eye)

f_o+f_e

length of telescope (constrain eye)

f_o+(f_eD/f_e+D)

magnification of terrestrial telescope

f_o/f_e

magnification of Cassegrain telescope

f_o/f_e= R/(2f_e)

length of terrestrial telescope

f_o+f_e+4f_{errecting lens}

deviation in this case is

δ=2i

whats the case

no dispersion

whats the case

no deviation