Wave Motion 2 Question 41
41. A string of mass per unit length is clamped at both ends such that one end of the string is at and the other is at . When string vibrates in fundamental mode amplitude of the mid-point of the string is , and tension in the string is . Find the total oscillation energy stored in the string.
(2003, 4M)
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Answer:
Correct Answer: 41.
Solution:
or
The amplitude at a distance
Total mechanical energy at
or
Here,
Substituting these values in Eq. (i) and integrating it from