The equation of stationary wave on a string clamped at both ends and vibrating in third harmonic is Y=0.5 (0.314 x) (600 t) where x and y are in cm , t in second. The length of the vibrating string is

Step-by-step solution

The standard equation of a standing wave is y=2 A (k x) ( t) On comparing with standard equation, =600 s ⁻¹ and k= 10 The wavelength of the wave can be obtained by using the wave number: k= 2 = 10 The wavelength is =20 ~cm Frequency of the third harmonics is three times the fundamental. Therefore, length of the string is: L=3 ( 2 )=3(10)=30 ~cm