Question

The equation of a standing wave, produced on a string fixed at both ends, is

y=(0.4cm)sin[(0.314cm^-1)x]cos[(600πs^-1)t].

What could be the smallest length of the string ?

Answer 1

for smallest length of the string, as wavelength remains constant, the string should vibrate in fundamental frequency

=> l = λ/2 = 20 cm / 2 = 10 cm.