optics formula sheet study sheet physicsa 2010
DESCRIPTION
Optics formula sheet- basic as this subject is at this point. Has plenty of diagrams missing lenzmakers equation for some reason I forgot to put him onTRANSCRIPT
DENSER MEDIUM=increased speed
Depth Shallow Deep Wavelength Short Long
Speed Slow Fast
REFLECTION
Angle of incidence =Angle of Refration
REFRACTION (transmission)
π πππ2
π πππ1=π£2
π£1
π πππ1 = πππππ ππ πππππππππ (1π π‘)
Direction of propagation
the direction in which the energy is travelling
Wavelength
distance between to poimts in phase
distance between 2 successive crests
Typical tranverse wave
DIVERGING-CONVEX
ALWAYS-Virtual, Erect, Smaller than object
Behind mirror between F and V
Di or f is negative
CONCAVE-CONVERGING
A: Real, Inverted, Smaller, Between C and F
B: Real, Inverted, Same size as object, At C
C: No image, Reflected rays are parallel
D: Virtual, Erect, Larger than object, Behind mirror
π·π‘π·π
=Χ
1
Χ2
=π£1
π£2=π πππ1
π πππ2=πΆ
π£= ππ΄
ππ΄1 Γ sin π½π = ππ΄2 Γ sin π½π
π½π = ππππππππ‘ πππππ
π½π = πππππππ‘ππ πππππ
πͺ = π ππππ ππ πππππ‘ ππ π£πππ’π’π(πππ)
π = π ππππ ππ πππππ‘ ππ π‘πππ‘ ππππ‘πππ’πππ πππππ’π
ππ¨ = π΄ππ πππ’π‘π πππππππ‘ππ£π πππππ₯ ππ π‘πππ‘ πππππ’π
ππ = πππππ ππ πππππ‘ ππ ππππ π‘ πππππ’π
ππ = πππππ ππ πππππ‘ ππ π πππππ πππππ’π
π«π = πππ’π ππππ‘π
π«π = π΄πππππππ‘ ππππ‘
DENSER MEDIUM=bends toward the normal and
slower speed for electromagnetic waves
CONVEX-bi convex-CONVERGING
c. Magnified, inverted, real, Di is pos, f is pos
d. Magnified, upright, virtual, Di is neg, f is pos
As an object moves toward F the image increases in size
CONCAVE-bi concave-DIVERGING
a. Diminished, upright, virtual, Di is neg, f is neg
b. Diminished, upright, virtual, Di is neg, f is neg
All measurements are made from the optical centre of
the lens
π
π=π
π π+π
π π
π π =ππ π
(π π β π)
π π =ππ π
(π π β π)
π =π π Γ π π
(π π + π π)
π΄ =π ππ π
=ππππ
Optical power/ Lens Power π
π
π π = π π = π = π πππππππ ππ πππππ
π π = π π = π = π πππππππ ππ ππππππ
ππ = ππππππ ππ πππππ
ππ = ππππππ ππ ππππππ
Critical Angle-Denser medium to lighter medium
Medium to air π¬π’π§ π½π =π
ππ¨π
π¬π’π§π½ππ¬π’π§π½π³
= ππ = π¬π’π§π½π =ππ¨π³ππ¨π
π¬π’π§ π½π = πππππ ππ ππππ£πππ πππππ’π
π¬π’π§ π½π³ =πππππ ππ πππππ‘ππ πππππ’π
ππ = π ππππ‘ππ£π πππππππ‘ππ£π πππππ
ππ¨π³ = πππ ππ’ππ’π‘π πππππππ‘ππ£π πππππ₯ ππ πππππ‘ππ πππππ’π
ππ¨π = πππ ππ’ππ’π‘π πππππππ‘ππ£π πππππ₯ ππ ππππ£πππ πππππ’π
π β π β π β π β π β π β π
Wavelengths decrease
Refracts more
critical angle decreases
frequency increases
Wavelength of light in a denser medium
ππ =ππ¨ππ
For string with mass(m) and length(L) under
tension(F), the speed of the wave is given by
π½ = ππ³
π
Mark Riley