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State the laws of vibrating string.What is end correction in the vibrations of aircolumn in a pipe? |
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Answer» Answer: he fundamental FREQUENCY of vibration of a STRETCHED string or wire is given by n=12LTm−−−√ where L is the vibrating length, m the mass per unit length of the string and T the tension in the string. From the above expression, we can state the following three laws of vibrating STRINGS : (1) Law of length : The fundamental frequency of vibrations of a stretched string is invessely proportional to its vibrating length, if the tension and mass per unit length are kept constant. (2) Law of tension : The fundamental frequency of vibrations of a stretched string is DIRECTLY proportional to the square ROOT of the applied tension, if the length and mass per unit length are kept constant. (3) Law of mass : The fundamental frequency of vibrations of a stretched is inversely proportional to the square root of its mass per unit length, if the length and tension are kept constant. |
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