sin(kx-wt) = - sin(wt-kx) sin (kx=wt) = sin(kx) or sin (wt)

For the two consecutive waves, n ? 1 2 = ( n + 1 ) ? 2 2 where n = Number of loops in first wave wave n × ( 2 × 12 ) / 2 = ( n + 1 ) × ( 2 × 10 ) / 2 or n × ( 2 × 12 ) = ( n + 1 ) × ( 2 × 10 ) 24 n = 20 n + 20 or 4 n = 20 or n = 5 So the length of the string L = n ? 1 2 = 5 × 24 2 = 60 cm

The speed of the vibrational wave in a string under tension is proportional to the square root of the tension T. and move accordingly