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A particle moves according to the law X ...

A particle moves according to the law `X =a cos (pi t)/2` . The distance covered by it in the time interval between t = 0 to 1 = 3 sec is 

A

2a

B

3a

C

4a

D

a

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-OSCILLATIONS-EXERCISE II
  1. The displacement of a particl executing SHM is given by Y=10 sin (3t+p...

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  2. A particle is vibrating in SHM with an amplitude of 4 cm. At what disp...

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  3. A particle moves according to the law X =a cos (pi t)/2 . The distance...

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  4. If a body of mass 36 gm moves with S.H.M. of amplitude A = 13 cm and p...

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  5. For a body in S.H.M the velocity is given by the relation v = sqrt(144...

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  6. A 20 g particle moves in SHM with a frequency of 3 oscillations per se...

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  7. Acceleration displacement graph of a particle executing S.H.M is as sh...

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  8. The displacement of a particle from its mean position (in meter) is gi...

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  9. Two SHMs are represented by the equations y(1)=10sin(3pit+pi//4) and...

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  10. A particle of mass 4 gm is moving simple harmonically with a period 8 ...

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  11. Which of the following quantities are always positive in a S H M

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  12. For a particle executing SHM. The KE .K. is given by K = K(0) cos^(2) ...

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

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

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

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

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

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

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

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

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