Question

In a stretched string, if speed of wave is doubled then the tension will be?​

Answer 1

When the wave relationship is applied to a stretched string, it is seen that resonant standing wave modes are produced. So, if we double the tension the speed will increase 1.41 times or root (2) times.

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Answer 2

Answer:

The tension will increase by four times.

Explanation:

• The qualities of the medium affect a wave's speed.
• The wave speed of a stretched string depends on the tension in the string, the mass of the string and the length of the string.
• The speed of a wave is directly proportional to the square root of the Tension in the string
• v = √T/μ
• v is the speed of the wave, T is the tension in the string and μ is the mass per unit length of the string
• T/μ = v^2
• Tension is directly proportional to the square of the wave speed
• Therefore, if the wave speed is doubled, the tension will become quadrupled.

The tension in the string will increase by 4 times.

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