The function log ω t

Question

The function log ω t (A) is a periodic function (B) is a non-periodic function (C) could represents oscillatory motion (D) can represents circular motion

Tardigrade Admin · Accepted Answer

The function log ω t increases monotonically with time t. Therefore, it cannot repeat its value and is a non-periodic function. It may be noted that as t arrow ∞, log ω t diverges to ∞. Therefore, it cannot represents any kind of physical displacement.

Q. The function $lo g ω t$

is a periodic function

is a non-periodic function

could represents oscillatory motion

can represents circular motion

The function $lo g ω t$ increases monotonically with time $t$ . Therefore, it cannot repeat its value and is a non-periodic function. It may be noted that as $t \to \infty$ , $lo g ω t$ diverges to $\infty$ . Therefore, it cannot represents any kind of physical displacement.

Q. The function logωt