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If the tension in a rope is increased, what will happen to the speed of a wave traveling through the rope?

The speed will increase.

The speed will decrease.

The speed will fall to zero.

The speed will not change.

Verified Answer :

taskmasters

"The speed will increase" is the one among the following choices given in the question that describes the speed of a wave traveling through the rope, if the tension in a rope is increased. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has come to your help.

migueletorallam

Answer:

The speed will increase.

Explanation:

Wave velocity in a rope can be discribed as :

\(v=\sqrt{\frac{T}{\rho} }\),

where \(v\) is the velocity,  \(T\) is the tension and,  \(\rho\) is the linear density of mass (this is mass over rope length).

As it can be seen from the formula, velocity is directly proportional to the tension, this means that if tension increase so it will the velocity.