Statement-1: For a given string, if its tension is quadrupled, the wave speed on it becomes twice its initial value.
Statement-2: The wave speed on a string is independent of the frequency of the wave.

Question

Statement-1: For a given string, if its tension is quadrupled, the wave speed on it becomes twice its initial value.

Statement-2: The wave speed on a string is independent of the frequency of the wave.

TestHub · Accepted Answer

Statement-1: The wave speed on a string is given by $v = T / μ$ . If tension $T$ is quadrupled to $4 T$ , the new speed $v^{'} = 4 T / μ = 2 T / μ = 2 v$ . So, Statement-1 is true.

Statement-2: The wave speed in a given medium (string with fixed tension and linear mass density) is constant and depends only on the properties of the medium, not on the frequency of the wave. So, Statement-2 is true.

However, Statement-2 is not the correct explanation for Statement-1. Statement-1 explains how wave speed changes with tension, while Statement-2 states that wave speed is independent of frequency. These are distinct concepts.

Physics - Wave on String Question with Solution | TestHub

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