InterviewSolution
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InterviewSolution
| 1. |
(a) the displacement of a particle is given by `s - a sin (omega t = kx)`, where `t` is in second and `x` is in meter. Find the dimensions of `omega` and `k`. (b) The velocity of a praticle is given by `v = v_(0) e^(-lambda t)`, where `t` is time. Find the dimensions of `v_(0)` and `lambda`. |
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Answer» (a) `s = a sin (omega t - kx)` Angles have no dimensions `(omega t = kx)` is dimensionless ltbr `omega t`is dimensions, `[k] = L^(-1)` (b) Power of exponential is dimensionsless. `lambda t` is dimensions, `[lambda] = T^(-1)` Dimensions of `v_(0) =` Dimensions of `v`, i.e., `LT^(-1)` `[V_(0)] = LT^(-1)` |
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