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A transverse wave propagating along x-axis is represented by y(x,t) = 8.0 sin(0.5 πx - 4πt - π/4) where x is in metres and t is in seconds. The speed of the wave is
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- 0.5 π m/s
- π/4 (m/s)
- 8 m/s
- 4π m/s
Correct Option: C
Speed of a wave represented by the equation
y(x, t) = A sin (kx – ωt + φ) is v = ω/k
By comparison, ω = 4π; k = 0.5π
v = | = | = 8 m/sec | ||
k | 0.5π |