The frequency f of vibration of a violin string is inversely proportional to its length L the constant proportionality k is positive and depends on the tension and density of string
a.write an equation that represents this variation
B.what effect does doubling the length of string have on the frequency of its vibration
a. The equation that represents this variation is:
f = k/L
b. Doubling the length of the string will result in halving the frequency of its vibration. This is because frequency is inversely proportional to length, so as the length increases, the frequency decreases.
a. The equation that represents the variation between the frequency f and length L of a violin string is:
f = k/L
b. Doubling the length of the string, denoted by 2L, will halve the frequency of its vibration. This can be mathematically represented as:
f' = k/(2L)
Simplifying further:
f' = (1/2)(k/L)
So, the frequency will become half of its original value when the length of the string is doubled.