For a sinusoidal wave

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

For a sinusoidal wave, accurate measurements give ω=150 rad s−1\omega=150\,\text{rad s}^{-1} and k=30 m−1k=30\,\text{m}^{-1}. A student, however, uses the incorrect relation v=ωλv=\omega\lambda instead of the correct one and obtains a speed vwrongv_{\text{wrong}}. What is the percentage error in the speed calculated by the student? (a) 100%100\% (b) 528%528\% (c) 84%84\% (d) 214%214\%

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