What are the first three harmonics of a note produced on a 0.31 m long violin string if the waves on this string have a speed of 274.4 M/s

442 Hz, 882 Hz, 1330 Hz

Explanation:

Given data:  length of the string= 0.31 m = 31 cm

speed of the waves = 274.4 M/s or 2740 cm/s

Wavelengths are

62 cm

31 cm and

62 / 3  =  20.67 cm

The frequencies associated with these wavelengths ( which are the 1st, 2nd and 3rd harmonics )

are

27440/ 62 =  442.6 = 442 Hz

27440/31  = 885.2  = 882 Hz

27440 / 20.67  = 1328 = 1330 Hz

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.