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If `v = alpha sin (betat)` where v is meter per second and t is in second then. Find sum of dimesions with respect to the time of `alpha` and `beta`A. 1B. `-1`C. 2D. `-2` |
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Answer» Correct Answer - D `v = alpha sin (beta t)` By dimensional homogenity `alpha` has same dimension of `v = [LT^(-1)] sin (betat)` and `sin (beta t)` no dimension as it is trgonometric function `alpha = M^(0)L^(1)T^(-1)` `beta = M^(0)L^(0)T^(-1)` so w.r.t. = dimensions are `(-1) + (-1) = -2` |
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