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  • A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45 Hz. What is the tension in the string?

Q.15.14 (b) A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45\: Hz. The mass of the wire is 3.5\times 10^{-2}\: kg and its linear mass density is 4.0\times 10^{-2}\: kg\: m^{-1}. What is  (b) the tension in the string?

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Tension in the string is given by

\\T=\mu v^{2}\\ T=4\times 10^{-2}\times (78.75)^{2}\\ T=248.0625\ N

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