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Oscillations question

2022 · Q156
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Oscillations question

2022 · Q156

NEETPhysicsOscillationsMCQ+4 / −1

Identify the function which represents a non-periodic motion.

  1. A
    sin⁡(ωt+π/4)\sin (\omega t + \pi /4)sin(ωt+π/4)
  2. B
    e−ωt{e^{ - \omega t}}e−ωt
  3. C
    sin⁡ωt\sin \omega tsinωt
  4. D
    sin⁡ωt+cos⁡ωt\sin \omega t + \cos \omega tsinωt+cosωt
View written solutionFree

Correct answer: B

Here,

$\sin \omega t$ and $$\sin \left( {\omega t + {\pi \over 4}} \right)$$ clearly suggest a periodic sinusoidal function (SHM)

And $$\sin \omega t + \cos \omega t = \sqrt 2 \sin \left( {\omega t + {\pi \over 4}} \right)$$ is also a periodic sinusoidal function (SHM)

While, $$y = {e^{ - \omega t}}$$ is an exponentially decreasing function and thus does not have periodicity.

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