Identify the function which represents a periodic motion. (a) e-ω t (b) eω t (c) log e(ω t) (d) sin ω t + cos ω t

Answer: (d). e-ω t, eω t and log e(ω t) change steadily with time and never repeat. sin ω t + cos ω t = √(2)sin (ω t + π/4) repeats after T = 2π/ω. So the answer is (d) sin ω t + cos ω t.

Identify the function which represents a periodic motion. | NEET 2020 (Phase 2)

Q55NEET 2020 · PHASE 2Easy

Periodic Motion & SHM Basics

Identify the function which represents a periodic motion.

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Answer: (d)

$e^{-\omega t}$ , $e^{\omega t}$ and $\log_e(\omega t)$ change steadily with time and never repeat.
$\sin\omega t + \cos\omega t = \sqrt{2}\sin(\omega t + \pi/4)$ repeats after $T = 2\pi/\omega$ .
So the answer is (d) $\sin\omega t + \cos\omega t$ .

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