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The equation of SHM of a particle is giv...

The equation of SHM of a particle is given as `2(d^(2)x)/(dt^(2))+32x=0` where x is the displacement from the mean position. The period of its oscillation ( in seconds) is -

A

zero

B

`(pi)/(2)`

C

`pi`

D

`2 pi`

Text Solution

Verified by Experts

The correct Answer is:
B
`(d^(2)x)/(dt^(2))+16x = 0`
`therefore" "omega^(2)=16 rArr omega = 4 and T = (2pi)/(omega)=(2pi)/(4)=(pi)/(2)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-OSCILLATIONS-EXERCISE 1
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  2. A particle executes SHM, its time period is 16 s. If it passes through...

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  3. The equation of SHM of a particle is given as 2(d^(2)x)/(dt^(2))+32x=0...

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  5. The amplitude of a executing SHM is 4cm At the mean position the speed...

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  6. A particle executing simple harmonic motion of amplitude 5 cm has maxi...

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  7. The maximum velocity a particle, executing simple harmonic motion with...

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  8. The motion of a particle is given by x=A sin omegat+Bcos omegat. The m...

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  9. The amplitude and maximum velocity will be respectively X= 3 sin 2t +...

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  10. Out of the following functions representing motion of a particle which...

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  11. The displacement of a particle from its mean position (in mean is give...

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  12. Which of the following functionss represents a simple harmonic oscilla...

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  13. The displacement of two particles executing SHM are represented by equ...

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  14. Two pendulums of length 1.21 m and 1.0 m starts vibrationg. At some in...

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  15. Two SHMs are respectively represented by y(1)=a sin (omegat-kx) and y(...

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  16. The displacement-time graph of a particle executing SHM is shown in th...

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  17. The displacement-time graph of a particle executing SHM is as shown in...

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  18. The period of SHM of a particle is 12 s. The phase difference between ...

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  19. Two simple harmonic motions given by, x = a sin (omega t+delta) and y ...

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  20. The resultant of two rectangular simple harmonic motion of the same fr...

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