Question

If the tension force on the rope is double the speed of the wave on the rope will doubled as well true or false

Answer 1

Given:

If the tension force on the rope is double the speed of the wave on the rope will doubled as well.

Required: To determine whether the given statement is true or false

Step-by-step explanation:

The relation between tension force and speed is

`\begin{gathered} speed\propto\sqrt{tension\text{ force}} \\ v\propto√(T) \end{gathered}`

On doubling the tension force, the speed will be

`\begin{gathered} v^(\prime)\propto√(2T) \\ \propto√(2)* T \end{gathered}`

Thus, the speed of the wave will be square root times the tension.

Final Answer: The given statement is false