Transverse waves a traveling on a 1.50-m long piano string at600 m/s. If the poi

Question

Transverse waves a traveling on a 1.50-m long piano string at600 m/s. If the points of zero vibration occur at one-halfwavelength, (where the string is fastened at both ends), find thefrequency of vibration. A.) 400 Hz B.) 50 Hz C.) 200 Hz D.) 800 Hz E.) 1000 Hz Transverse waves a traveling on a 1.50-m long piano string at600 m/s. If the points of zero vibration occur at one-halfwavelength, (where the string is fastened at both ends), find thefrequency of vibration. A.) 400 Hz B.) 50 Hz C.) 200 Hz D.) 800 Hz E.) 1000 Hz

Explanation / Answer

    Length of the string, L = 1.5 m     Velocity of transverse waves, V = 600 m/s     But, L = ( / 2 )   ( given inthe problem )     Wavelength, = 2 L                           = 2 * 1.5                           = 3 m     Frequency of vibration, f = V /                                          = 600 / 3                                          = 200 Hz     Ans: option C : 200 Hz

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