Wave Optics — Class 12 Maharashtra HSC Physics revision notes
A 7-page visual revision sheet for Wave Optics, written for Class 12 Maharashtra HSC Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
Page 1 as PDFA preview of page 1 — all 7 pages open full size in the app.
Wave Optics in one look
light interferes, diffracts and polarises: the wave picture ray optics never needed
From corpuscles to waves
Newton's corpuscular theory made light hard, elastic, massless particles
a denser medium was thought to attract them more strongly, so it predicted light should travel faster there, contradicted by experiment
the wave theory gets refraction right, and alone explains interference, diffraction and polarisation
a primary source emits its own light (Sun, flame, bulb)
a secondary source only reflects light it receives (moon, a page)
refractive index depends on wavelength: a prism bends violet more than red into a spectrum
Wavefront: every point on it becomes a fresh source of secondary wavelets
Secondary wavelets: spread out as hemispheres, radius vT after time T
New wavefront: the envelope of all the wavelets, one time-step later
Wavelength across a boundary
frequency never changes crossing a mediumν_1 = ν_2
wavelength in medium of index n, vacuum wavelength λ_0λ = λ_0/n
wave speedv = νλ
Page 1 of 7. The full sheet, all 7 pages, opens free in the app.
What this Wave Optics sheet covers
From corpuscles to waves
Wavefront
Secondary wavelets
New wavefront
Wavelength across a boundary
frequency never changes crossing a medium
wavelength in medium of index n, vacuum wavelength λ_0
wave speed
Reflection and refraction, from the wavefront
Coherence, the condition for a stable pattern
Three ways to get two coherent sources
Young's double slit
Lloyd's mirror
Fresnel biprism
double slit
young's experiment
path difference at a point on the screen
bright fringe, n=0,±1,±2,...
dark fringe
fringe width
Path difference: bright, dark, and the centre
The intensity pattern
Slit separation from fringe count
diffraction
single slit
Diffraction at a single slit
nth minimum, slit width a
angular half-width of the central maximum
fringe width, except the central band
Interference vs diffraction pattern
Single slit diffraction
resolving power
rayleigh criterion
Resolving power, telescope and microscope
telescope, limit of resolution, aperture D
telescope's resolving power
microscope, minimum resolvable separation, refractive index n, half-angle alpha
polarisation
Malus's law and Brewster's law
intensity after a second Polaroid at angle theta to the first
These notes are not a standalone PDF. CapCompass plans Physics chapter by chapter against your real exam dates and free hours, and when the plan reaches Wave Optics the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.