A string of length L=1.68 m is attached at both ends. The string is parallel to an x-axisand extends from x=0 to x=L. The speed of waves on this string is v= 285.6m/s. For3.standing waves:a. What is the wavelength of the fundamental mode (n=1 mode), 4 ?b. Whatis the frequency of the fifth harmonic, f;?c. Draw the envelopes of the string displacement wave function for the first three harmonicsand label each node with the letter 'N' and antinode with letter 'A'. Please make threeseparate drawings.d. For the third harmonic, n=3 , what are the three x values where the transverse speed ofthe string is a maximum, X, Xm2, X3 compared to other xlocations?e. For this string oscillating in the third harmonic (n=3), with a maximum deviation fromequilibrium of 2y. = 0.280 cm at points x= xml,X =Xm2,X= X3 , what is themaximum (positive) transverse speed of the string (speed perpendicular to the directionof the string), Max(u,(xmt)) ?

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