A) \[\left[ L{{T}^{-2}} \right];\,\, \left[ L{{T}^{-3}} \right]\]
B) \[\left[ L{{T}^{-3}} \right];\,\, \left[ L{{T}^{-2}} \right]\]
C) \[\left[ L{{T}^{-2}} \right];\,\, \left[ L{{T}^{-2}} \right]\]
D) None of these
Correct Answer: A
Solution :
As, \[x = a{{t}^{2}}+ b{{t}^{2}}\] So, every term on RHS must have dimensions of x. \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,a=\frac{X}{{{t}^{2}}}\Rightarrow \,\,[a]=[L{{T}^{-\,2}}]\] and \[b=\frac{X}{{{t}^{3}}}\,\,\Rightarrow \,\,[b]=[L{{T}^{-\,3}}]\]You need to login to perform this action.
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