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A particle moves according to the law x=...

A particle moves according to the law `x=r cos.(pit)/(2)`. The distance covered by it in the time interval between t = 0 and t = 3 s in nr. What is the value of n?

A

2a

B

3a

C

4a

D

a

Text Solution

Verified by Experts

The correct Answer is:
B
By comparing with general equation `x = A cos omega t`
we get `omega = (pi)/(2) rArr (2pi)/(T) = (pi)/(2) = T = 4 sec`
distance travelled in 3s is a + a + a = 3a
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NARAYNA-OSCILLATIONS-EXERCISE - I (C.W)
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  2. The frequency of a particle performing SHM is 12Hz. Its amplitude is 4...

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  3. A particle moves according to the law x=r cos.(pit)/(2). The distance ...

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  4. Amplitude of oscillation of a particle that executes SHM is 2cm. Its d...

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  5. A particle is executing simple harmonic motion between exterme positio...

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  6. The period of oscillation of a particle in SHM is 4s and its amplitude...

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  7. The displacement of a particle in SHM is x = 3sin (20 pit) +4 cos(20pi...

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  8. Displacement time equation of a particle executing SHM is, x = 10 sin ...

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  9. The time period of a simple harmonic motion is 8 s At t=0. it is at th...

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  10. A simple harmonic motion is represented by F(t)=10sin(20t+0.5). The am...

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  11. A simple harmonic oscillation has an amplitude A and time period T. Th...

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  12. The motion of a particle is given x = A sin omega t + B cos omega t Th...

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  13. The displacement of a particle along the x-axis is given by x = a sin^...

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

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  15. The equation of S.H.M. isy=a sin (2 pint + a), then its phase at time...

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  16. A particle starts from rest at the extreme position and makes SHM with...

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  17. A particle executing simple harmonic motion along y -axis has its moti...

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  18. The equation describing the motion of a simple harmonic oscillator alo...

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  19. A particle in SHM has a period of 4s .It takes time t(1) to start from...

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  20. The equation of the displacement of two particles making SHM are repre...

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