Q.

The position of a particle at time t is given by the equation, x(t)=voα1−e−αt, where V0 is a constant and α > 0.. The dimensions of V0 and α are respectively

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a

L1 and T−1

b

L1T−1 and T

c

L1T−1 and T−1

d

L1T−1 and LT−2

answer is C.

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Detailed Solution

Exponent of e should be dimensionless, implies α=T−1, and v0=αx=LT−1
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The position of a particle at time t is given by the equation, x(t)=voα1−e−αt, where V0 is a constant and α > 0.. The dimensions of V0 and α are respectively