The equation that is not dimensionally correct among the options is V =u - at .
The dimensions of physical quantities is a representation of physical quantities in terms of mass (M), length(L), time (T). Dimensions are used to establish the correctness of a physical equation.
A equation is dimensionally correct when the right hand side is equal to the left hand side. The equation V=u - at is not dimensionally correct because the dimension of velocity is LT-1. The dimension of acceleration is LT-2.
Dimensionally, this equation is written as;
[tex]LT^-1 = LT^-1 - (LT^-2 * T^1)\\LT^-1 = LT^-1 - LT^-1\\LT^-1 = 0[/tex]
Hence, the equation is not dimesnsionally correct.
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