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?

Question

The equation of a standing wave, produced on a string fixed at both ends, is y = (0 4 cm) sin(0 314 cm − 1 )x] cos[(600 π s − 1 )t]. What could be the smallest length of the string?

Philoid · Accepted Answer

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

The equation of a standing wave, produced on a string fixed at both ends, isy = (04 cm) sin(0314 cm−1)x] cos[(600π s−1)t].What could be the smallest length of the string?

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?