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Speed of a transverse wave on a string from tension and mass per unit length

This type of question, asked 2 times: 2021 Paper 25, 1 Feb 2023. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 25

    21
    The mass per unit length of a uniform wire is 0.135 g/cm0.135\text{ }g/cm. A transverse wave of the form y=−0.21sin⁡(x+30t)y= - 0.21\sin(x+ 30t) is produced in it, where xx is in meter and tt is in second. Then, the expected value of tension in the wire is x×10−2 Nx\times10^{- 2}\text{ }N. Value of xx is ___ . (Round-off to the nearest integer)

  2. Question 2

    1 Feb 2023

    17
    A steel wire with mass per unit length 7.0×10−3 kg m−17.0 \times10^{- 3}\text{ }kg{\text{ }m}^{- 1} is under tension of 70 N70\text{ }N. The speed of transverse waves in the wire will be:

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