Two sinusoidal waves with the same amplitude and wavelength travel through each

Question

Two sinusoidal waves with the same amplitude and wavelength travel through each other along a string that is stretched along an x axis. Their resultant wave is shown twice in the figure, as the antinode A travels from an extreme u displacement to an extreme downward displacement in ms. The tick marks along the axis are separated by 11.0 cm; height H is 1.80 cm. Let the equations for one of the two waves be of the form y(x, t) = y_m sin(k chi + omega t). In the equation for the other wave, what are (a) yen, (b) k, (c) omega, and (d) the sign in front of omega?

Explanation / Answer

The distance between two tick marks is nothing but the distance between two nodes.

This is given by lambda/2

in this question it is given to be 11 cm

hence lambda = 2*11 = 22 cm

k = 2 pi/lambda = 2pi/22 = 0.2856 rad/cm = 28.56 rad/m

Here you have an error while selecting the units otherwise your answer is correct.

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