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Question

What is the primary physical quantity that remains constant for a wave reflecting off a boundary within
the same medium?

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Choose one · Correct answer highlighted

Explanation

**Wave equation** y(x,t) = A sin(kx - ωt + φ) describes displacement of progressive harmonic wave, where k = 2π/λ wave number (rad/m), ω = 2πf angular frequency (rad/s), v = ω/k wave speed (m/s). Sign of ωt indicates direction, amplitude A is maximum displacement. Reflection within the same medium preserves the wave’s frequency, as it depends on the source, while speed, wavelength, and amplitude may adjust based on boundary conditions. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Frequency, illustrating frequency-length-speed interdependence and quantization by boundaries.

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