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The function `f` is given by `f = A sin alpha x + B cos beta t`, where `x` is displacement and `t` is the time. The dimensions of `alpha//beta` isA. `[M^(0) L^(0) T^(0)]`B. `[MLT^(-1)]`C. `[M^(0) L^(-1) T]`D. `[M^(0) LT^(-1)]` |
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Answer» Correct Answer - C (3) Angles have no dimension. `alpha x` is dimensionless : `[alpha] = L^(-1)` `beta t` is dimensionless : `[beta] = T^(-1)` `(alpha)/(beta) = (L^(-1))/(T^(-1)) = L^(-1) T` |
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