Answer:
The funda mental frequency of the original tube is 182Hz.
Explanation:
See the attachment for the calculation steps.
In order to calculate the fundamental frequency of the original closed tube we need to find the length of the tube which is equal to the sum of the lengths of the two new tubes.
For closed tubes
f = nv/4L (n = 1, 3, 5,...n)
f = nv/2L (n = 1, 2, 3,...n)
The details of calculation can be found below in the attachment.
Answer:
C)You should use the thin cooking twine.
Explanation:
A)You can choose either because they are the same length and will produce the same wave speed.
B)You should use the heavy rope.
C)You should use the thin cooking twine.
The speed of wave in a string is given by the following formula:
|| =
Where || = speed of wave,
= tension in the string, and μ = mass per length of the string.
<em>Even though the two strings have the same length, the μ (mass/length) for the heavy rope will be more than the that of a thin rope. Consequently, the </em><em>:μ for the thin rope will be higher than that of the heavy rope and as such, gives a bigger |</em>
<em>|. </em>
Therefore, the thin rope should be used in order to get a faster wave speed in the telephone.
The correct option is C.