Waves travel along a 100-m length of string which has a mass of and is held taut with a tension of .What is the speed of the waves?
A) 3700 m/s
B) 370 m/s
C) 37 m/s
D) 0.37 m/s
E) 3.7 m/s

Question

Waves travel along a 100-m length of string which has a mass of  and is held taut with a tension of  .What is the speed of the waves?
A) 3700 m/s 
B) 370 m/s 
C) 37 m/s 
D) 0.37 m/s 
E) 3.7 m/s

Quizplus · Accepted Answer

The speed of waves on a string is given by the equation:

v = √(T/μ)

where T is the tension in the string and μ is the linear mass density of the string (mass per unit length).

In this case, T = 11ea83ea_6a07_989a_aeff_430ae97e560d_TB6394_11 and the linear mass density can be found by dividing the total mass by the length:

μ = m/L = 11ea83ea_6a07_7189_aeff_95e2cb6705de_TB6394_11 / 100m = 11ea83ea_6a06_ff6c_aeff_3125a6e638b6_TB6394_11

Substituting these values into the equation for v gives:

v = √(T/μ) = √(11ea83ea_6a07_989a_aeff_430ae97e560d_TB6394_11 / 11ea83ea_6a06_ff6c_aeff_3125a6e638b6_TB6394_11) = 37 m/s

Therefore, the speed of the waves is 37 m/s, which corresponds to choice B.

Waves Travel Along a 100-M Length of String Which Has