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JEE Main 202127 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Evening Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2021 · 27 August · Evening Shift · Physics · Oscillations

Two simple harmonic motion, are represented by the equations y _ 1...

Two simple harmonic motion, are represented by the equations

y1=10sin⁡(3\pit+π3);y2=5(sin⁡3\pit+3cos⁡3\pit){y}_{1} = 10\sin \left(3\pit + \dfrac{\pi}{3}\right); {y}_{2} = 5 ( \sin 3\pit + \sqrt{3}\cos 3\pit )

Ratio of amplitude of y1{y}_{1} to y2=x:1{y}_{2} = x: 1. The value of xx is

Correct answer

0

Step-by-step solution

y1=10sin⁡(3\pit+π3){y}_{1} = 10\sin \left(3\pit + \dfrac{\pi}{3}\right)

y2=5[sin⁡3\pit+3cos\pit]{y}_{2} = 5 [ \sin 3\pit + \sqrt{3}cos\pit ]

y2=10sin⁡(3\pit+π3)⇒A2A1=1010=1{y}_{2} = 10\sin \left(3\pit + \dfrac{\pi}{3}\right) ⇒ \dfrac{{A}_{2}}{{A}_{1}} = \dfrac{10}{10} = 1

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