The equation of a standing wave, produced on a string fixed at both ends, is
y = (04 cm) sin(0314 cm−1)x] cos[(600π s−1)t].
What could be the smallest length of the string?
We can write the equation of standing wave as,
y = (04 cm) sin(0314 cm−1)x] cos[(600π s−1)t].
So, k=0.314=
We know that,
Now,
For, smallest length, n=1, putting the value of ,
So, L= cm