Q.

The position x of a particle at time t is given by x=V0a1−e−at, where V0 is constant and a > 0. The dimensions of V0 and a are

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a

M0LT−1 and T−1

b

M0LT0 and T−1

c

M0LT−1 and LT−2

d

M0LT−1 and T

answer is A.

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Detailed Solution

Here at is dimensionless. Soa=1t=1T=T−1x=V0a and V0=xa=LT−1=M0LT−1
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The position x of a particle at time t is given by x=V0a1−e−at, where V0 is constant and a > 0. The dimensions of V0 and a are