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What does the Superposition of Waves revision sheet cover?

progressive wave, Progressive waves, Speed of a wave: elastic over inertial, any mechanical wave, transverse wave on a string, tension T, mass per unit length m, longitudinal wave in a fluid, bulk modulus B, density ρ, reflection of waves, The principle of superposition, interference, Interference of two waves, same frequency, resultant amplitude, phase difference phi, waves in phase, φ = 0.

Is this for Class 12 Maharashtra HSC Physics?

Yes, it is written for the Maharashtra HSC Physics syllabus.

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Superposition of Waves — Class 12 Maharashtra HSC Physics revision notes

A 7-page visual revision sheet for Superposition of Waves, 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.

Superposition of Waves revision notes, page 1 of 7 — A preview of page 1 — all 7 pages open full size in the app.

Superposition of Waves in one look

add two waves at a point and you get everything from a plucked string to a tuned instrument

Progressive waves

a progressive wave carries a disturbance one way continuously, without damping, particle to particle
every particle does the same S.H.M.: same amplitude, period, frequency, phase shifting steadily along
energy and momentum transfer along the wave; no matter is carried along
particles rest only at their extreme positions, move fastest through their own mean position

Speed of a wave: elastic over inertial

any mechanical wave v=√fracelastic propertyinertial property
transverse wave on a string, tension T, mass per unit length m v=√T/m
longitudinal wave in a fluid, bulk modulus B, density ρ v=√B/ρ

Reflection of waves

rigid support (denser medium): crest reflects as trough, a pi phase change on reflection
free end (rarer medium): crest reflects as crest, no phase change at all
speed, wavelength, frequency stay the same on reflection, only phase can change
sound: a compression returns from a closed end as a compression
from an open end of a pipe it returns as a rarefaction
a sonometer wire is fixed at both ends: every reflection carries a pi phase change

Page 1 of 7. The full sheet, all 7 pages, opens free in the app.

What this Superposition of Waves sheet covers

progressive wave
Progressive waves
Speed of a wave: elastic over inertial
any mechanical wave
transverse wave on a string, tension T, mass per unit length m
longitudinal wave in a fluid, bulk modulus B, density ρ
reflection of waves
The principle of superposition
interference
Interference of two waves, same frequency
resultant amplitude, phase difference phi
waves in phase, φ = 0
waves out of phase, φ = π
phase difference from a path difference Δ
stationary waves
Formation of stationary waves
Nodes and antinodes
nodes: zero amplitude, permanently at rest
antinodes: maximum amplitude A
node to next antinode
Progressive waves vs stationary waves
Stationary wave
harmonics
overtones
Harmonics and overtones
Free vibrations, forced vibrations and resonance
End correction
Air column closed at one end
fundamental frequency, length L
allowed frequencies
Air column open at both ends
In the lab: the resonance tube
Pipe frequencies: the special forms
vibrating string
sonometer
Laws of a vibrating string
fundamental frequency, tension T, mass per length m
law of length, T and m fixed
law of tension, l and m fixed
law of linear density, T and l fixed
String laws: the special ratios
In the lab: the sonometer
beats
two sources, close frequencies n_1 and n_2
period of beats
Applications of beats
Doppler effect
source and listener approaching each other, speeds v_s and v_L
moving apart: flip both signs
source moving at an angle θ to the line of sight
Symbols
Traps that cost marks
Tricks that save time

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