Question

Two sound waves having a phase difference of 60° have path difference of
1). $\frac{\lambda}{6}$
2). $\frac{\lambda}{3}$
3). $2\lambda$
4). $\frac{\lambda}{2}$

Answer 1

Hey !

Here is your answer !
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Given that the two sound waves have same frequency and wavelength

They have a phase difference of 60°


For the phase difference of 360° or 2π
the path difference is equal to the wavelength λ

So for the phase difference of 60°

The path difference will be


λ × 60° / 360° = λ / 6


Hope it helps !

Answer 2

Answer:

1) $\frac{\lambda}{6}$

Explanation:

$\frac{2 \pi}{ \lambda} \Delta x = 60 \textdegree$

$\to \Delta x = \frac{60 \textdegree}{{2 \pi}}{ \lambda}$

here 2π = 360°

so, Δx = $\frac{\lambda}{6}$