16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T4ed,{"@context":"https://schema.org","@type":"Quiz","name":"Mht Cet 2024 Waves PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/mht-cet/questions/2024/physics/waves/m4f5jdsr","educationalLevel":"Entrance exam preparation","about":"Mht Cet / Physics / Waves","hasPart":{"@type":"Question","name":"Mht Cet 2024 Waves PYQ with Solution","text":"Two sound waves having same amplitude ' A ' and angular frequency ' \\omega ' but having a phase difference of \\left(\\frac{\\pi}{2}\\right)^c are superimposed then the maximum amplitude of the resultant wave is","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"C"},"comment":{"@type":"Comment","text":"Let's consider the two waves given by y_1 = A \\sin(\\omega t) and y_2 = A \\sin\\left(\\omega t + \\frac{\\pi}{2}\\right). When adding two sine waves of equal amplitude A with a phase difference \\delta , we can use the identity: \\sin \\theta + \\sin(\\theta + \\delta) = 2 \\sin\\left(\\theta + \\frac{\\delta}{2}\\right) \\cos\\left(\\frac{\\delta}{2}\\right). Here, \\theta = \\omega t and \\delta = \\frac{\\pi}{2} . Plugging in the phase difference gives: y_1 + y_2 = 2A \\sin\\left(\\omega t + \\frac{\\pi}{4}\\right) \\cos\\left..."}}}18:T419,

Let's consider the two waves given by

$$ y_1 = A \sin(\omega t) $$

and

$$ y_2 = A \sin\left(\omega t + \frac{\pi}{2}\right). $$

When adding two sine waves of equal amplitude $ A $ with a phase difference $ \delta $, we can use the identity:

Waves

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