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What is the ratio of the mass of one string to the other in a given experiment?

a) 1:1
b) 2:1
c) 1:2
d) 0.5:1

1 Answer

4 votes

Final answer:

Without the exact mass values or the lengths of the strings involved, the ratio of their masses cannot be accurately determined from the given information. The details provided relate to the linear mass density and tension, which influences wave speed, not direct mass comparison.

Step-by-step explanation:

To determine the ratio of the mass of one string to the other in the given experiment, we need to analyze the information provided regarding the linear mass density (μ) of the strings. The linear mass density is defined as the mass per unit length of a string. Given that the strings have different tensions, this would generally affect the wave speed in each string, but without information about their respective lengths or the actual mass, we cannot calculate the exact mass ratio. However, we can deduce information about wave speeds. For example, if two strings have the same tension and the same linear mass density, the speed of a wave on both strings will be the same. Conversely, if the first string has twice the linear mass density as the second and both have the same tension, the speed of the wave will be slower on the first string due to the increased mass density. The wave velocity v can be found using the formula v = √(T/μ), where T is the tension in the string. Without exact mass values or the mass of individual strings, we cannot definitively answer the question about mass ratio. The question seems to provide partial information without enough context to calculate the ratio accurately.

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