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2. A string with a length of 0.9m that is fixed at both ends a) What is the longest possible wavelength for the travelling waves that
Question
2. A string with a length of 0.9m that is fixed at both ends
a) What is the longest possible wavelength for the travelling waves that can
interfere to form a standing wave on this string?(First harmonic)
b) If waves travel at a speed of 120m/s on this string, what is the frequency
associated with the longest wave (first harmonic)?
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Physics
3 years
2021-07-15T23:45:12+00:00
2021-07-15T23:45:12+00:00 1 Answers
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Answers ( )
Answer:
a.) 1.8 metre
b.) 66.67 Hz
Explanation: Given that the
Length L = 0.9m
Wavelength (λ) = 2L/n
Where n = number of harmonic
If n = 1, then
Wavelength (λ) = 2L = 2 × 0.9 = 1.8 m
b.)
If waves travel at a speed of 120m/s on this string, what is the frequency
associated with the longest wave (first harmonic)?
Given that V = 120 m/s
V = Fλ
But λ = 2L, therefore,
F = V/2L
F = 120/1.8
F = 66.67 Hz