A) \[[ML{{T}^{-1}}]\]and \[[ML{{T}^{0}}]\]
B) \[[ML{{T}^{-3}}]\]and \[[M{{L}^{2}}{{T}^{4}}]\]
C) \[[ML{{T}^{-4}}]\] and \[[ML{{T}^{1}}]\]
D) \[[ML{{T}^{-3}}]\] and \[[ML{{T}^{-4}}]\]
Correct Answer: D
Solution :
For a dimensionally correct equation, each term of the equation have same dimension. So, dimension of at = dimension of F \[a\,[T]=[ML{{T}^{-2}}]\] \[a=[ML{{T}^{-3}}]\] again, dimension of \[b{{t}^{2}}=\]dimension of F \[b\,{{[T]}^{2}}=[ML{{T}^{-2}}]\] \[b=[ML{{T}^{-4}}]\]
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