What is the equation of a sinusoidal wave moving in the positive x direction wit

Question

What is the equation of a sinusoidal wave moving in the positive x direction with wave length 6 m and time period 0.5s. The amplitude of the wave is 5 m.

Options:

A . y=6sin(2π5x−4πt)

B . y=5sin(π3x−4πt)

C . y=5sin(x−t)

D . None of these

Answer: Option B
:
B
here

λ = 6 m

∴ k = \frac{2 π}{6} = \frac{π}{3}

ω = \frac{2 π}{T} = \frac{2 π}{0.5} = 4 π

given,amplitude =5m

y = 5 s i n (\frac{π}{3} x - 4 π t)

[the standard equation is y=Asin(kx-

ω

t)]

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