A transverse periodic wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t − 10.0 m⁻¹ x). Another transverse wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t − 10.0 m⁻¹ x). What is the equation that represents the superposition of the two waves? A) y(x, t) = 3.0 cm sin(1,500 rad/s t − 10.0 m⁻¹ x) B) y(x, t) = 3.0 cm sin(1,500 rad/s t) cos(10.0 m⁻¹ x) C) y(x, t) = 3.0 cm cos(1,500 rad/s t) sin(10.0 m⁻¹ x) D) y(x, t) = 3.0 cm sin(1,500 rad/s t + 10.0 m⁻¹ x)

Question

Quizplus · Accepted Answer

When two waves of the same frequency, amplitude, and wavelength superpose, their amplitudes add up. Since both given waves are identical, their superposition results in a wave with double the amplitude but the same frequency and wavelength.

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