Rankers Physics

Waves and its Characteristics: Practice Problem & Solution

Two sound waves having a phase difference of $60^{\circ}$ have path difference of: (1996)
$\frac{\lambda}{6}$
$\frac{\lambda}{3}$
$2\lambda$
$\frac{\lambda}{2}$

Solution Explained:

To solve this problem, we apply the core principles of Waves and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

Phase difference $\Delta\phi = \frac{2\pi}{\lambda} \times \Delta x$. Given $\Delta\phi = 60^{\circ} = \frac{\pi}{3}$. Thus, $\frac{\pi}{3} = \frac{2\pi}{\lambda} \Delta x \implies \Delta x = \frac{\lambda}{6}$.

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