Question
When two waves of almost equal frequencies $n_1$ and $n_2$ reach at a point simultaneously, what is the time interval between successive maxima?
✓
Answer
If two waves of almost equal frequencies interfere, they are producing beats.Let $\text{n}_1>\text{n}_2$
Beat frequency $\text{f}_\text{beat}=\text{n}_1-\text{n}_2$
$\therefore$ Time period of beats $\text{T}_\text{beats}=\frac{1}{\text{f}_\text{beat}}=\frac{1}{\text{n}_1-\text{n}_2}$
This time period will be wqual to the time interval between successive mixima.
Beat frequency $\text{f}_\text{beat}=\text{n}_1-\text{n}_2$
$\therefore$ Time period of beats $\text{T}_\text{beats}=\frac{1}{\text{f}_\text{beat}}=\frac{1}{\text{n}_1-\text{n}_2}$
This time period will be wqual to the time interval between successive mixima.
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