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Q.

The position of a particle at time ‘t’ is given by the relation xt=V0α1−e−αt , where V0 is a constant and α>0. Then determine the dimensions of V0 and α.

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a

M0L1T0 and T−1

b

M0L1T−1 and T−1

c

M0L1T−1 and T−2

d

M0L1T−1 and T

answer is B.

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Detailed Solution

α=T-1 Voα=L Vo= LT-1

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The position of a particle at time ‘t’ is given by the relation xt=V0α1−e−αt , where V0 is a constant and α>0. Then determine the dimensions of V0 and α.