The amplitude of a wave represented by displacement equation
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Given :
The amplitude of a wave represented by displacement equation
To find :
Amplitude of the wave
Solution :
given that,
here we have two waves, If two or more waves reach a particle simultaneously the resultant displacement of the particle in the medium is the vectorial sum of displacement due to individual waves.
According to the question,
we know that,
If two vector y₁and y₂ of magnitude y₁and y₂ are acting at an angle θ then the magnitude of their resultant using parallelogram method of vector addition is
By substituting all the values,
thus, option (d) is correct.
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