Question

$s_1$ and $s_1$ are two sources of sound emitting sine waves. The two sporces are in phase. The source emittied by the two sources interfere at point F. The waves of wavelength:

• A. 1 m will result in constructive interference
• B. $\frac{2}{3}m$ will result in constructive interference
• C. 2 m will result in destructive interference
• D. 4 m will result in destructive interference

Answer 1

The correct option is A 1 m will result in constructive interference

We know that,

For constructive

Path difference = $n\lambda$

$S_{1}F-S_{2}F=n\lambda$

$6m-4m=n\lambda$

$2m=n\lambda$

$\lambda =\frac{n}{2}m$

Where, $n=0,1,2\dots .$

So, $\lambda =0,0.5m,1m,\frac{3}{2}m,2m....$

Hence, the wave length is $1m$ in constructive interference