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The displacement x of a particle varies ...

The displacement x of a particle varies with time t as `x = ae^(-alpha t)+be^(beta t)`, where a, b,`alpha` and `beta` are positive constants. The velocity of the particle will

A

Go on decreasing with time

B

Be independent of `alpha and beta`

C

Drop to zero when `alpha=beta`

D

Go on increasing with time

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The correct Answer is:
D
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