Question

An equation for a wave is y = 0.2 sin (40 t - x). Correct statement for this wave is
(A) The wave travels along negative x - axis.
(B) The frequency of the wave is 40 Hz.
(C) The wave velocity is 40 m-s-1.
(D) The maximum particle velocity is 40 m-s-1.​

Answer 1

Answer:

(B) the frequency of the wave in 40 Hz

Answer 2

C)The wave velocity is 40 m/s

Explanation:

The equation of a wave

$y=0.2sin(40t-x)$

$y=0.2(sin(-(x-40t))$

$y=-0.2sin(x-40t)$

Using, $sin(-x)=-sin x$

Compare with the equation

$y=Asin (kx-\omegat+\phi)$

Where A= Amplitude of wave

K=$\frac{2\pi}{\lambda}$=wave number

$\lambda=$ Wavelength of wave

$\omega=2\pi f$= Angular frequency of wave

$\phi$=Phase angle shift

A=-0.2 m

Where negative sign represents the maximum displacement form equilibrium position in negative direction.

$\omega=40$

$2\pi f=\omega$

$f=\frac{\omega}{2\pi}$

$f=\frac{40}{2\pi}$

$k=1$

$\frac{2\pi}{\lambda}=1$

$\lambda=2\pi$

$v=\nu\times \lambda$

$v=\frac{40}{2\pi}\times 2\pi=40 ms^{-1}$

Hence, the velocity of wave=40 m/s

# Learns more:

A wave travels with a velocity of 8000m/s and a frequency of 2000 Hz. The wavelength of this wave is

https://brainly.in/question/3431220: Answered by Brainly user