What happens when a crest falls on the crest during superposition of waves

The resultant displacement become maximum

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The resultant displacement become minimum

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The resultant displacement is zero

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None of the above

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Solution

The correct option is A The resultant displacement become maximum
A crest is a form of disturbance, where in the density in a given region of the wave is high. If two such crests are added, then density of such a region will become doubled or the resultant displacement (density) becomes maximum

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y_{1} = 4 s i n (500 π t)

y_{2} = 2 s i n (506 π t)

y = 4 {cos}^{2} (\frac{t}{2}) sin (1000 t)

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y_{1} = s i n (500 π t) a n d y_{2} = 2 s i n (506 π t)

y = 4 {cos}^{2} (\frac{t}{2}) sin 1000 t

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