Two sinusoidal waves travel in the same direction along a wire: y_1=4 (kx- t)

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Two sinusoidal waves travel in the same direction along a wire:

y_1=4\sin(kx-\omega t)\,\text{cm}, \qquad y_2=3\sin\bigl(kx-\omega t+\tfrac{\pi}{3}\bigr)\,\text{cm}.

What is the amplitude of the single sinusoidal wave that results from their superposition? (a)

7.0\,\text{cm}

(b)

5.0\,\text{cm}

(c)

6.1\,\text{cm}

(d)

5.6\,\text{cm}