Question

The diagram shows two oscillations. What is the phase difference between the oscillations?

• A. $\frac{\pi}{5}$ rad
• B. $\frac{2\pi}{5}$ rad
• C. $\frac{3\pi}{5}$ rad
• D. $\frac{4\pi}{5}$ rad

Answer 1

Answer: (B)

$\frac{2\pi}{5}$ rad

Answer 2

The phase difference $\Delta \phi$ is related to the time difference $\Delta t$ and the period $T$ by the formula:

$\Delta \phi = \frac{\Delta t}{T} \times 2\pi$ radians.

In this case, $\Delta t = 2$ grid divisions and $T = 10$ grid divisions. So, the phase difference is $\Delta \phi = \frac{2}{10} \times 2\pi = \frac{1}{5} \times 2\pi = \frac{2\pi}{5}$ radians.