15.14 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 * 10^–2 kg and its linear mass density is 4.0 * 10^–2 kg m^–1. What is (a) the speed of a transverse wave on the string (b) the tension in the string?

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Vishal Baghel | Contributor-Level 10

8 months ago

Mass of the wire, m = 3.5 $* 10^{- 2}$ kg

Linear mass density, $μ = \frac{m}{l}$ = 4 $* 10^{- 2}$ kg/m

Frequency of vibration, $ν$ = 45 Hz

Length of the wire, l = $\frac{m}{μ}$ = $\frac{3.5 * 10^{- 2}}{4 * 10^{- 2}}$ = 0.875 m

The wavelength of the stationary wave $λ$ = $\frac{2 l}{n}$ , where n = number of nodes in the wire

For fundamental node, n = 1, $λ$ = 2l = 2 $* 0.875 = 1.75 m$

(a) The speed of the transverse wave in the str

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15.14 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 * 10–2 kg and its linear mass density is 4.0 * 10–2 kg m–1. What is (a) the speed of a transverse wave on the string (b) the tension in the string?

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