A transverse wave is passing through a stretched string with a speed of 20 m s⁻¹. The tension in the string is 20 N. At a certain point P on the string, it is observed that energy is being transferred at a rate of 40mW at a given instant. Find the speed of point P.
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Question

A transverse wave is passing through a stretched string with a speed of 20 m s⁻¹. The tension in the string is 20 N. At a certain point P on the string, it is observed that energy is being transferred at a rate of 40mW at a given instant. Find the speed of point P.

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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: B: 20 cm s⁻¹.