A string of mass m is under tension, and the speed of a wave in the string is v. What will be the speed of a wave in the string if the mass

Question

A string of mass m is under tension, and the speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m but with no change in the length or tension?

A) v/ sq. rt. of 2
B) v/2
C) 2v
D) v * sq. rt. of 2
E) 4v

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Thu Hương 4 years 2021-09-02T00:56:43+00:00 2 Answers 48 views 0

Answers ( )

  1. ngocdiep
    0
    2021-09-02T00:58:18+00:00
    Reply

    Answer:

    A) v/ sq. rt. of 2

    Explanation:

    The speed of the wave in the string is defined as:

    v=\sqrt{\frac{T}{\mu}}

    Where T is the tension on the string and \mu is the linear density, that is, the mass per unit length:

    \mu=\frac{m}{L}

    Where m is the mass of the string and L its length. We have m'=2m, T'=T and L'=L:

    v'=\sqrt\frac{T'}{m'/L'}\\v'=\sqrt\frac{T}{2m/L}\\v'=\frac{1}{\sqrt2}\sqrt\frac{T}{m/L}\\v'=\frac{v}{\sqrt2}

  2. bonexptip
    0
    2021-09-02T00:58:36+00:00
    Reply

    Explanation:

    Below is an attachment containing the solution.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )