A taut string of length 3 m lies along the x-axis and is fixed at x = 0. Wave speed is 100 m s⁻¹. The other end is driven transversely so that stationary waves are established. Which waveform(s) are possible?
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Question

A taut string of length 3 m lies along the x-axis and is fixed at x = 0. Wave speed is 100 m s⁻¹. The other end is driven transversely so that stationary waves are established. Which waveform(s) are possible?

Select all that apply

G1 Physics · Accepted Answer

Step 1: Local transverse-wave speed is v = √(T/μ). Step 2: If T varies with position, use dt = dx/v and integrate; otherwise use time = length/speed. Step 3: Use force balance to obtain the required tension where needed. Final: A: y = A sin(πx/6) cos(50πt/3); C: y = A sin(5πx/6) cos(250πt/3); D: y = A sin(5πx/2) cos(250πt).