A wave pulse is given by the equation y = f (x, t) = A exp (-B(x - vt)²). Given A = 1.0m, B = 1.0 m⁻² and v = + 2.0 m s⁻¹, which of the following graph shows the correct wave profile at the instant t = 1 s?
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Question

A wave pulse is given by the equation y = f (x, t) = A exp (-B(x - vt)²). Given A = 1.0m, B = 1.0 m⁻² and v = + 2.0 m s⁻¹, which of the following graph shows the correct wave profile at the instant t = 1 s?

Options

G1 Physics · Accepted Answer

Step 1: Write the pulse as F(x ∓ vt); the sign is fixed by the direction of propagation. Step 2: Keep the whole pulse shape unchanged and translate its argument by vt. Step 3: Compare with the listed expressions/graph. Final: C: Image 3.