Respuesta :
Answer:
v = 282.84 m / s
Explanation:
The speed of a wave in a wire is given by the equation
.v = √ T /ρ
Where v is the speed of the wave, T the tension in the wire and ρ the density of the wire
If the tension is doubled
T = 2T₀
v = √ (2T₀ / ρ)
v = √2 √ T₀ / ρ
v = √2 v₀
calculate
v = √2 200
v = 282.84 m / s
In physics, mathematics, and related fields, a wave is a propagating dynamic disturbance of one or more quantities, sometimes as described by a wave equation.
The wave depends on the following:-
- Wavelength
- Frequency
- Medium
According to the question, the speed of the tension is as follows
The formula we will use is:-
[tex]v= \sqrt{\frac{T}{p}}[/tex]
Where v is the speed of the wave, T is the tension in the wire, and ρ is the density of the wire.
when tension is doubled.
T = 2T₀
[tex]v = \sqrt√\frac{2T₀}{ρ}[/tex]
[tex]v = \sqrt2\frac{T₀}{ρ}[/tex]
[tex]v = \frac{2}{v₀}[/tex]
After calculating, the value of v get,
[tex]v = \sqrt2*200[/tex]
The value v = 282.84 m / s
For more information, refer to the link:-
https://brainly.com/question/19359821
