A transverse periodic wave is represented by the equation y(z,t) = 2.0 cm sin(1,200 rad/s t - 20.0 m^-1 z).Another transverse wave is represented by the equation y(z,t) = 2.0 cm sin(1,200 rad/s t - 20.0 m^-1 z).What is the equation that represents the superposition of the two waves? A) y(z,t)= 4.0 cm sin(1,200 rad/s t - 20.0 m^-1 z) B) y(x,t)= 4.0 cm sin(1,200 rad/s t)cos20.0 m^-1 x) C) y(x,t)= +4.0 cm cos(1,200 rad/s)sin(20.0 m^-1 x) D) y(x,t)= +4.0 cm cos(1,200 rad/s)+ (20.0 m^-1 x)

Question

Quizplus · Accepted Answer

The superposition of two waves with the same frequency and wavelength is a wave with the same frequency and wavelength, but with an amplitude that is the sum of the amplitudes of the two waves. In this case, the amplitudes of the two waves are both 2.0 cm, so the amplitude of the superposition is 4.0 cm. The equation for the superposition is therefore:y(z,t)= 4.0 cm sin(1,200 rad/s t - 20.0 m^-1 z)

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