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In the given progressive wave y = 5 sin (100 πt – 0.4 πx) where y and x are in m, t is in s. What is the amplitude. - Physics

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Question

In the given progressive wave y = 5 sin (100 πt – 0.4 πx) where y and x are in m, t is in s. What is the amplitude.

Numerical

Solution

Wave is travelling in + x direction because ωt and kx have opposite signs.

The standard equation is given by, y = a sin(ωt – kx + `phi`)

We have, y = 5 sin(100 πt – 0.04 πx)

Therefore, on comparing we get a = 5 m, ω = 100 π, k = 0.4 π

Amplitude, a = 5 m.

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Displacement Relation for a Progressive Wave
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Chapter 15: Waves - Exercises [Page 112]

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NCERT Exemplar Physics [English] Class 11
Chapter 15 Waves
Exercises | Q 15.35 (a) | Page 112

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