A standing wave has the following wave- function: y(x,t) = 0.2 sin(3ttx) cos(12rt), where x and y are in meters, and t is in seconds. If the length of the string is L = 2 %3D m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is:

A standing wave has the following wave- function: y(x,t) = 0.2 sin(3ttx) cos(12rt), where x and y are in meters, and t is in seconds. If the length of the string is L = 2 %3D m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is:

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter17: Sound

Section: Chapter Questions

Problem 98P: A string on the violin has a length of 24.00 cm and a mass of 0.860 g. The fundamental frequency of...

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

A standing wave has the following wave-
function: y(x,t) = 0.2 sin(3Ttx) cos(12rt),
where x and y are in meters, and t is in
seconds. If the length of the string is L = 2
m and it is fixed at both ends, then the
harmonic, n, in which the string is vibrating
is:
O n = 6
n = 4
O n = 2
O n = 5
O n = 3

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