Two strings are adjusted to vibrate at exactly 280Hz . Then the tension in one s
ID: 1382194 • Letter: T
Question
Two strings are adjusted to vibrate at exactly 280Hz . Then the tension in one string is increased slightly. Afterward, three beats per second are heard when the strings vibrate at the same time.What is the new frequency of the string that was tightened? Two strings are adjusted to vibrate at exactly 280Hz . Then the tension in one string is increased slightly. Afterward, three beats per second are heard when the strings vibrate at the same time.What is the new frequency of the string that was tightened?Explanation / Answer
frequency of vibration is given by :
f = sqrt(T/(m/L))/2L = 280
when the tension is changed to say , T',
f' = sqrt(T'/(m/L))/2L
Now, beat frequency, B = f' -f = 3
So, f' = f + 3 = 280 + 3 = 283 Hz <-------answer