Use the following information for questions 9-10: Two strings are near each othe

Question

Use the following information for questions 9-10: Two strings are near each other. One string has length 0.80m, has a mass per unit length of 0.0080 kg / m, and is under a tension of 300 N / m. The other string has a length of 1.2m, a mass per unit length of 0.0120 kg / m, and an unknown tension T. When you 'pluck' one string, it can induce vibrations in the other. Which best describes the condition for this to happen? The tension in the two strings is the same. The mass per length of the strings is the same. Some wavelengths of possible standing waves on the two strings are the same. The beat frequencies of the two strings are the same. ** Some frequencies of possible standing waves on the two strings are the same. What tension T is required so that the two strings have the same lowest frequencies? Use the following information for questions 11-12: A periodic travelling wave is described by the wave-function What are the wavelength and frequency of this wave? For which value of v does the wave above - F(x, t) - obey the linear wave equation

Explanation / Answer

9.

e) some frequency of of possible standing waves on the two strings is same

10

m = mass per unit length

T = Tension in the string

L = length

fundamental frequency is given as

f = (1/(2L)) sqrt (T/m)

for the frequency to be equal in two strings

(1/(2L1)) sqrt (T1/m1) = (1/(2L2)) sqrt (T2/m2)

(1/(2(0.8))) sqrt ((300)/(0.008)) = (1/(2(1.2))) sqrt (T2/(0.012))

T2 = 1012.5 N

so its is 1010 N

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