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Wave speed and frequency of a stretched wire from its extension and Young's modulus

This type of question, asked 2 times: 29 Jul 2022, 11 Apr 2023. All 2 questions below, oldest first.

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  1. Question 1

    29 Jul 2022

    116
    The speed of a transverse wave passing through a string of length 50 cm50\text{ }cm and mass 10 g10\text{ }g is 60 ms−160{\text{ }ms}^{- 1}. The area of cross-section of the wire is 2.0 mm22.0{\text{ }mm}^{2} and its Young's modulus is 1.2×1011Nm−21.2 \times10^{11}Nm^{- 2}. The extension of the wire over its natural length due to its tension will be x×10−5 mx \times 10^{- 5}\text{ }m. The value of xx is

  2. Question 2

    11 Apr 2023

    118
    A wire of density 8×103 kg/m38 \times10^{3}\text{ }kg/m^{3} is stretched between two clamps 0.5 m0.5\text{ }m apart. The extension developed in the wire is 3.2×10−4 m3.2 \times10^{- 4}\text{ }m. If Y=8×1010Y = 8 \times10^{10} N/m2N/m^{2}, the fundamental frequency of vibration in the wire will be___ HzHz.