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Q.41

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 485

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Short Answer

A violinist places her finger so that the vibrating section of a 1.0 g/m string has a length of 30 cm, then she draws her bow across it. A listener nearby in a 20°C room hears a note with a wavelength of 40 cm. What is the tension in the string?

The tension in the string is 265 N

See the step by step solution

Step by Step Solution

Step 1: Write the given information

Length of the string, L= 30 cm =0.3m
The linear density of the string, µ = 1 g/m = 10-3 kg/mWavelength of the wave, λ = 40 cm = 0.4 mThe temperature of the room, T= 20°C

Step 2: To determine the tension of the string 

The speed of sound at 20°C temperature, v = 343.3 m/sThe frequency of the sound wave is given by The expression for the fundamental frequency of the string wave is given by Thus, the tension in the string is 265 N

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