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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

be independent of `beta`

B

drop to zero, when `alpha = beta`

C

decrease with time

D

increase with time

Text Solution

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The correct Answer is:
D
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