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QAIPMT-2005-Ph-2559: NEET 2005 Physics - Class 11 AIPMT-2005-Ph-2559 Solution: The displacement x of a particle varies with time t as…

The displacement x of a particle varies with time t as x=ae−αt+beβtx=ae^{-\alpha t}+be^{\beta t}, where a, b, α\alpha and β\beta are positive constants. The velocity of the particle will

Multiple Choice Options

  • A be independent of β\beta
  • B drop to zero when α=β\alpha=\beta
  • C go on decreasing with time
  • D go on increasing with time.

Step-by-Step Verified Solution

x = ae _ _ t + be _ t d x d t = - _ ae _ _ t + b _ e _ t v = - _ ae _ _ t + b _ e _ t Velocity will go on increasing with time.

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