Verified Solution • 2025–26 Session moderate

QNEET-2022-Ph-542: NEET 2022 Physics - Class 11 NEET-2022-Ph-542 Solution: Identify the function which represents a non-periodic motion.…

Identify the function which represents a non-periodic motion. sin⁡(ωt+π/4)\sin(\omega t+\pi/4) e−ωte^{-\omega t} sin⁡ωt\sin\omega t sin⁡ωt+cos⁡ωt\sin\omega t+\cos\omega t

Multiple Choice Options

  • A sin⁡(ωt+π/4)\sin (\omega t + \pi /4) sin ( _ t + � /4 )
  • B e−ωt{e^{ - \omega t}} e _ _ t
  • C sin⁡ωt\sin \omega t sin _ t
  • D sin⁡ωt+cos⁡ωt\sin \omega t + \cos \omega t sin _ t + cos _ t

Step-by-Step Verified Solution

Here, sin _ _ t and sin _ ( _ t + � 4 ) clearly suggest a periodic sinusoidal function (SHM) And sin _ _ t + cos _ _ t = 2 sin _ ( _ t + � 4 ) is also a periodic sinusoidal function (SHM) While, y = e _ _ t is an exponentially decreasing function and thus does not have periodicity.

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