Question
Download Solution PDFThe percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be ______%.
Answer (Detailed Solution Below) 2
Detailed Solution
Download Solution PDFCONCEPT:
The transverse speed of the stretched string is written as;
v =
Here we have T as the tension of the string, μ is the mass per unit length and v is the velocity of the string.
CALCULATIONS:
Given:
As we know that the velocity of the string with tension T is written as;
v =
v =
Let us calculate the relative change of equation (1) we have;
Here we have
Now multiplying equation (2) by 100 on both sides we have;
⇒
⇒
Therefore percentage increase in the speed of transverse waves produced in a stretched string is 2%
Hence 2% increase in the speed of transverse waves.
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