At , the displacement profile of a wave on a string is . At the profile is . Which…

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

Problem

At t=0t = 0, the displacement profile of a wave on a string is y=0.05sin⁡ ⁣(2π0.50x)y = 0.05\sin\!\left(\dfrac{2\pi}{0.50}x\right). At t=0.010 st = 0.010\,\text{s} the profile is y=0.05sin⁡ ⁣(2π0.50(x−0.080))y = 0.05\sin\!\left(\dfrac{2\pi}{0.50}(x - 0.080)\right). Which pair of values for speed (vv) and frequency (ff) is correct? (a) v=4 m s−1,  f=8 Hzv = 4\,\text{m\,s}^{-1},\;f = 8\,\text{Hz} (b) v=8 m s−1,  f=16 Hzv = 8\,\text{m\,s}^{-1},\;f = 16\,\text{Hz} (c) v=12 m s−1,  f=24 Hzv = 12\,\text{m\,s}^{-1},\;f = 24\,\text{Hz} (d) v=8 m s−1,  f=32 Hzv = 8\,\text{m\,s}^{-1},\;f = 32\,\text{Hz}

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