Answer :
Tightening the string increases the tension, which increases the speed at which waves travel along the string. This, in turn, leads to a higher frequency of vibration and a higher pitch of sound produced by the string.
Tightening a string on a guitar or violin causes the frequency of the sound produced by that string to increase because of the relationship between tension and the speed of wave propagation.
When a string is tightened, the tension in the string increases. This increased tension makes the string stiffer and allows it to vibrate at a higher frequency.
The frequency of a vibrating string is determined by its tension, mass per unit length, and length. According to the wave equation, the speed of wave propagation on a string is given by the formula:
v = √(T/μ)
where
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.
As the tension in the string increases, the speed of wave propagation also increases. Since the length of the string remains constant, the frequency of the sound produced by the string is directly proportional to the speed of wave propagation. Therefore, an increase in tension leads to an increase in frequency.
In other words, tightening the string increases the tension, which increases the speed at which waves travel along the string. This, in turn, leads to a higher frequency of vibration and a higher pitch of sound produced by the string.
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