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Phase different due to time (Beat)

Phase different due to time (Beat). p = p o sin( kx – wt ) p = p o sin( wt ) f beat = Δ f. Phase difference due to Path. p = p o sin( kx – wt ) Φ =kx 2 – kx 1. Standing Waves. Standing Wave (String). Free One End λ =4L/n. Fixed Both Ends λ =2L/n. Standing Wave (sound).

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Phase different due to time (Beat)

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  1. Phase different due to time (Beat) p = po sin(kx – wt) p = posin(wt) fbeat = Δf

  2. Phase difference due to Path p = po sin(kx – wt) Φ=kx2 – kx1

  3. Standing Waves

  4. Standing Wave (String) Free One End λ=4L/n Fixed Both Ends λ=2L/n

  5. Standing Wave (sound) Open One End λ=4L/n Open Both Ends λ=2L/n

  6. Dropping stone in well

  7. Special Rays (pick your favorite two) • Ray parallel to central axis, reflect through focal • Ray reflects from mirror after passing through focal • Ray passes through center of curvature and returns along itself • Symmetric reflection

  8. Is it real?

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