The fundamental frequency of a stretched string increases by 15 hz, when it's tension is increased by 144%. Now maintaining the initial tension in the wire if the length is increased by 40% what will be the change in the fundamental frequency ?
Asked by dipanshusingla029
23rd March 2018,
10:58 AM
Answered by Expert
Answer:
The equation relating frequency, wavelength , Tension in the string , mass density of string and length of string is given below
T is tension in the string, μ is mass density (mass/Length), n is frequency in Hz, λ is wavelength of fundamental and L is length of string.
Initially Tension is increased by 144% and frquency is 15 Hz. The original tension T is obtained as folows
now frequency with original tension and 40% increase in wavelength is given by
we get the frequency n = 8 Hz.
Answered by Expert
23rd March 2018,
12:01 PM
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