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

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

A

(a) a periodic, but not SHM with a period `(pi)/(omega)`

B

(b) a periodic, but SHM with a period `(2pi)/(omega)`

C

(c ) a SHM with a period `1(2pi)/(omega)`

D

d) a SHM with a period `(2pi)/(omega)`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) `y=1/2=1/2cos 2omegat`.
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Knowledge Check

  • The function sin^(2)(omega t) represents

    A
    a periodic, but not simple harmonic motion with period `2pi//omega`
    B
    a periodic, but not simple harmonic motion with period `pi//omega`
    C
    a simple harmonic motion with a period `2pi//omega `
    D
    a simple harmonic motion with a period `pi//omega`

  • 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 harmonic motion with a period `2 pi// omega`.
    D
    a periodic , but not simple harmonic motion with a period ` pi// omega`.

  • The function sin^(4)(omegat) represents

    A
    a simple harmonic motion with a period `pi//omega`
    B
    a simple harmonic motion with a period` 2pi//omega`
    C
    a period , but not simple harmonic motion with a period `pi//omega`
    D
    a periodic but not simple harmonic motion with a period `2pi//omega`

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