A transverse periodic wave is represented by the equation y(x,t) = 2.50 cm cos(2,500 rad/s t - 15.0 m^-1 x).What is the k vector of the wave? A) 15.0 m-¹ in the - x direction B) 15.0 m^-1 in the + x direction C) 30.0 m^-1 in the + y direction D) 30.0 m^-1 in the - y direction E) 45.0 m^-1 in the + x direction

Question

Quizplus · Accepted Answer

The k vector is given by the coefficient of x in the argument of the cosine function, which is -15.0 m^-1. This corresponds to a wave vector with magnitude 15.0 m^-1 in the +x direction (since the negative sign indicates a wave propagating in the positive x direction). Therefore, the correct answer is B.

A Transverse Periodic Wave Is Represented by the Equation Y(x,t)