The fundamental frequency of a vibrating string is f₁.If the tension in the string is increased by 50% while the linear density is held constant,the fundamental frequency becomes A)f₁ B)1.2f₁ C)1.5f₁ D)1.7f₁ E)2f₁

Question

Quizplus · Accepted Answer

The fundamental frequency of a vibrating string is proportional to the square root of the tension. If the tension is increased by 50%, the new tension is 1.5 times the original tension. The new frequency is √1.5 times the original frequency, which is approximately 1.22 times f₁.

The Fundamental Frequency of a Vibrating String Is F1

The Fundamental Frequency of a Vibrating String Is F₁