Question

A wave is represented by an equation y=c1 sin (c2x+c3t). In which direction is the wave going? Assume that c1, c2 and c3 are all positive.

Answer 1

Wave is Moving in Negative X-Axis

Explanation:

• Equation of the wave is

$y=c_1 sin c_2x+c_3t$

• When the variable of the equation is $(c_2x + c_3t),$

then the wave must be moving in the negative x-axis with time t.

Answer 2

Answer:

The wave is going in negative direction.

Explanation:

A wave is represented by an equation :

$y=c_1\sin (c_2x+c_3t)$

We need to tell that in which direction the wave is going. The general equation of a wave is given by :

$y=A\sin (kx+\omega t)$

If the sign between kx and ωt is positive, then the wave is moving in negative direction and if it is negative, the wave is going is positive direction.

So, in this case, the wave is going in negative direction.

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