Home
Class 11
PHYSICS
The function sin 2 ( omega t) represents...

The function `sin 2 ( omega t)` represents

A

A simple harmonic motion with a period `2 pi // omega `

B

A simple harmonic motion with a period `pi//omega`

C

A periodic but not simple hamonic motion with a period ` 2 pi // omega `

D

A periodic but not simple hamonic, motion with a period ` pi // omega `

Text Solution

Verified by Experts

The correct Answer is:
D

` y = sin ^(2) (omega t) = (1 - cos (2 omega t))/( 2)`
`T = ( 2 pi)/( 2 omega) = (pi)/( omega)`
A periodic function but not SHM with ` T = (pi)/( omega `
Promotional Banner

Similar Questions

Explore conceptually related problems

The function sin^(2) (omegat) represents.

The equation y=A sin^2 (kx-omega t) represents a wave with

Equation y=y_(0) sin (Kx+omega t) represents a wave :-

The function x = A sin^2 (omega)t + B cos^2 (omega)t + Csin (omega)t cos (omega)t represent (SHM) for which of the option(s).

Find time period of the function, y=sin omega t + sin 2omega t + sin 3omega t

In a wave motion y = sin (kx - omega t),y can represent :-

Which of the following functions of time represents (a) simple harmonic motion and (b) periodic motion? Given the period for each case. i. Sin omega t - cos omegat ii. Sin^(2)omegat

Which of the following functions of time represented (a) periodic and (b) non-periodic motion ? Given the period for each case of periodic motion ( omega is any positive constant(i) sin omega t-cos omega(ii) log ( 2 omega)

What is the time period for the function f(t) = sin omegat + cos omega t may represent the simple harmonic motion ?