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PHYSICS
Waves
Short revision series
What is a wave?
 A wave is a disturbance which travels
through a medium nd transfers energy from
one point to another without causing any
permanent displacement of the medium
itself
Transverse: Direction is perpendiculr to the
direction of vibration of the medium eg
plucking a string
Longitudinal: Direction is same as direction of
the vibration of the medium eg sound waves.
 Amplitude: maximum displacement of particles
from their mean position measured in m.
Important relations to remember
 Wave speed v = x/t
 F = 1/T
 v = f λ
Equation of a travelling wave
 y = sin θ
 y = cos θ
 Angular velocity ω = θ/t  θ = ωt
 y = sin ωt
 y = cos ωt
 y = a sin (ωt – Ф) Ф is wave constant for
wave that did not start from origin.
 Ф = 2πx/λ *relating Ф to x
 y = a sin (ωt – 2πx/λ)
 y = a sin (2πt/T - 2πx/λ)
 y = a sin 2π (t/T – x/λ)
 y = a sin 2π/λ (λt/T – x)  a sin 2π/λ (1/T
λt– x)
 f = 1/T
 a sin 2π/λ (f λt – x)
 v = fλ
 a sin 2π/λ (vt – x)
Difference btw progressive waves
and stationary waves
 Progressive: All waves whether transverse or
longitudinal are progressive waves
 Stationary: When 2 progressive waves of
equal amplitude and frequency travelling in
opposite directions combine.
Properties of waves
Can be:
 Reflected
 Refracted
 Diffracted
 Polarized
 And exhibit interference
END

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WavesPREPWALK

  • 2. What is a wave?  A wave is a disturbance which travels through a medium nd transfers energy from one point to another without causing any permanent displacement of the medium itself Transverse: Direction is perpendiculr to the direction of vibration of the medium eg plucking a string Longitudinal: Direction is same as direction of the vibration of the medium eg sound waves.
  • 3.  Amplitude: maximum displacement of particles from their mean position measured in m.
  • 4. Important relations to remember  Wave speed v = x/t  F = 1/T  v = f λ
  • 5. Equation of a travelling wave  y = sin θ  y = cos θ  Angular velocity ω = θ/t  θ = ωt  y = sin ωt  y = cos ωt  y = a sin (ωt – Ф) Ф is wave constant for wave that did not start from origin.
  • 6.  Ф = 2πx/λ *relating Ф to x  y = a sin (ωt – 2πx/λ)  y = a sin (2πt/T - 2πx/λ)  y = a sin 2π (t/T – x/λ)  y = a sin 2π/λ (λt/T – x)  a sin 2π/λ (1/T λt– x)  f = 1/T  a sin 2π/λ (f λt – x)  v = fλ  a sin 2π/λ (vt – x)
  • 7. Difference btw progressive waves and stationary waves  Progressive: All waves whether transverse or longitudinal are progressive waves  Stationary: When 2 progressive waves of equal amplitude and frequency travelling in opposite directions combine.
  • 8. Properties of waves Can be:  Reflected  Refracted  Diffracted  Polarized  And exhibit interference
  • 9. END