Consider the wave travelling on a string (SI units)

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Consider the wave y=0.05sin⁡(4πx+200πt)y = 0.05\sin(4\pi x + 200\pi t) travelling on a string (SI units). Which one of the following sets correctly gives the amplitude (A)(A), wavelength (λ)(\lambda) and speed (v)(v) of the wave? (a) A=0.05 m,  λ=0.50 m,  v=25 m s−1A = 0.05\,\text{m},\; \lambda = 0.50\,\text{m},\; v = 25\,\text{m\,s}^{-1} (b) A=0.10 m,  λ=0.50 m,  v=50 m s−1A = 0.10\,\text{m},\; \lambda = 0.50\,\text{m},\; v = 50\,\text{m\,s}^{-1} (c) A=0.05 m,  λ=0.50 m,  v=50 m s−1A = 0.05\,\text{m},\; \lambda = 0.50\,\text{m},\; v = 50\,\text{m\,s}^{-1} (d) A=0.05 m,  λ=0.25 m,  v=25 m s−1A = 0.05\,\text{m},\; \lambda = 0.25\,\text{m},\; v = 25\,\text{m\,s}^{-1}

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