Two sound waves having frequencies 250 Hz and 256 Hz superimpose to produce beat wave. The resultant beat…
Two sound waves having frequencies 250 Hz and 256 Hz superimpose to produce beat wave. The resultant beat wave has intensity maximum at $t=0$. After how much time an intensity will be minimum produced at the same point?
$\frac{1}{6} \mathrm{~s}$
$\frac{1}{24} \mathrm{~s}$
$\frac{1}{18} \mathrm{~s}$
$\frac{1}{12} \mathrm{~s}$
Solution
Beat frequency $=256-250=6 \mathrm{~Hz}$
Time between the maxima and minima of the beats is $\frac{T_{\text {beats }}}{2}$.
$\frac{\mathrm{T}_{\text {beats }}}{2}=\frac{1}{6 \times 2}=\frac{1}{12} \mathrm{~s}$
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