Question

22. If a progressive wave travelling in positive x-direction having the amplitude of 6cm, frequency 200Hz
and velocity is 400m/s, then write the equation of that progressive wave.​

Answer 1

Given info : If a progressive wave travelling in positive x-direction having the amplitude of 6cm, frequency 200Hz and velocity is 400m/s.

To find : write the equation of progressive wave.

solution : A progressive wave travelling in positive x - direction can be described as y = A sin(2πt/T - 2πx/λ)

here frequency = 200 Hz

so, Time period = 1/200 sec

velocity of wave, v = 400 m/s

so wavelength, λ = vT = 400 × 1/200 = 2 m

Amplitude, A = 6 cm = 0.06 m

Therefore the equation of wave is y = (0.06 m) sin(2πt/{1/200) - 2πx/2} ⇒y = 0.06 sinπ(400t - x)

also read similar questions : the equation of plane progressive wave is y =10sin2n(t-0.005x) where y and x are in cm and t in sec.claculate the amplit...

https://brainly.in/question/1134852

If a progressive wave and a stationary wave have frequency 300 Hz and the same

wave velocity 360 m/s, then calculate,

(i...

https://brainly.in/question/2139164