Two harmonic waves are represented in SI units by y_1(x

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

Two harmonic waves are represented in SI units by

y_1(x, t) = 0.2 \sin(x - 3.0 t) \quad \text{and} \quad y_2(x, t) = 0.2 \sin(x - 3.0 t + \phi)

(1) Write the expression for the sum

y = y_1 + y_2

for

\phi = \frac{\pi}{2}

rad. (2) Suppose the phase difference

\phi

between the waves is unknown and the amplitude of their sum is 0.32 m, what is

\phi