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Q.

The displacement x of a particle varies with time asx=ae−αt+beβtwhere e, b, o and F are positive constants.The velocity of the particle will

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a

go on decreasing with time

b

go on increasing with time

c

be independent of α and β

d

drop to zero when  α = β

answer is B.

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Detailed Solution

Given that x=ae−αt+beβt∴V=dxdt=−aαe−αt+bβeβt=aαeαt+bβeβtSo, v will go on increasing with time.
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