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denis-greek [22]
4 years ago
15

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

Physics
2 answers:
Likurg_2 [28]4 years ago
5 0

Explanation:

Below is an attachment containing the solution.

dalvyx [7]4 years ago
3 0

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}

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