InterviewSolution
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InterviewSolution
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The position of a particle at time `t` is given by the relation `x(t) = ( v_(0) /( alpha)) ( 1 - c^(-at))`, where `v_(0)` is a constant and `alpha gt 0`. Find the dimensions of `v_(0) and alpha`. |
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Answer» From the principle of dimensionsal homogenity , `[ alpha t] =` dimensionless :. `[ alpha] = [(1)/( t)] = [ T^(-1)]` Similarly , `[x] = ([v_(0)])/([ alpha]) = [L] [T^(-1)] = [LT^(-1)]` |
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