Identify the function which represents a non-periodic motion. (a) sin (ω t + π/4) (b) e-ω t (c) sin ω t (d) sin ω t + cos ω t

Answer: (b). A periodic function repeats itself after a fixed time T. sin (ω t + π/4), sin ω t and sin ω t + cos ω t all repeat after T = 2π/ω. e-ω t keeps decreasing and never repeats. So the answer is (b) e-ω t.

Identify the function which represents a non-periodic motion. | NEET 2022 (Phase 2)

Q39NEET 2022 · PHASE 2Easy

Periodic Motion & SHM Basics

Identify the function which represents a non-periodic motion.

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Answer: (b)

A periodic function repeats itself after a fixed time $T$ .
$\sin(\omega t + \pi/4)$ , $\sin\omega t$ and $\sin\omega t + \cos\omega t$ all repeat after $T = 2\pi/\omega$ .
$e^{-\omega t}$ keeps decreasing and never repeats.
So the answer is (b) $e^{-\omega t}$ .

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