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The displacement of two identical partic...

The displacement of two identical particles executing SHM are represented by equations `x_(1) = 4 sin(10t + (pi)/(2))` & `x_(2) = 5 cos (omega t)`. For what value of `omega`. Energy of both the particles is same.

A

4 rad/s

B

8 rad/s

C

16 rad/s

D

32 rad/s

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-OSCILLATIONS-EXERCISE-2
  1. For a particle executing SHM. The KE .K. is given by K = K(0) cos^(2) ...

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  2. A body is executing simple harmonic motion. At a displacement x its po...

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  3. The displacement of two identical particles executing SHM are represen...

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  4. A particle of mass m executes SHM with amplitude .a. and frequency .v....

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  5. An object is attached to the bottom of a light vertical spring and se...

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  6. At what displacement is the KE of a particle performing SHM of amplitu...

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  7. A particle execute S.H.M from the mean position. Its amplitude is A, i...

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  8. An object executing SHM has an acceleration of 0.2 m//s^(2) at a dista...

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  9. The angular velocities of three bodies in SHM are w(1),w(2),w(3) with ...

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  10. The equation for the displacement of a particle executing SHM is y = {...

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  11. The velocity of a particle under going SHM at the mean position is 2ms...

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  12. A block is placed on a horizontal platform. The system is making horiz...

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  13. A particle is subjected to two simple harmonic motions in the same dir...

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  14. If the maximum acceleration of a S.H.M. is a and the maximum velocity ...

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  15. A particle is excuting simple harmonic motion with an amplitude A and ...

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  16. When two displacements represented by Y(1) = a sin (omega t) and Y(2) ...

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  17. The potential energy of a particle oscillating on x-axis is given as U...

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  18. The periods of a pendulum on two planets are in the ratio 3 : 4. The a...

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  19. The shape of l-T graph of simple pendulum is

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  20. A simple pendulu is of length 50 cm. Find its time period and frequenc...

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