A) \[[KVFT]\]
B) \[[K{{V}^{2}}FT]\]
C) \[[K{{V}^{-1}}FT]\]
D) \[[K{{V}^{-1}}F{{T}^{2}}]\]
Correct Answer: C
Solution :
Let mass M has dimensional formula \[M={{V}^{x}}{{F}^{y}}{{T}^{z}}\] \[[M]={{[L{{T}^{-1}}]}^{x}}{{[ML{{T}^{-2}}]}^{y}}{{[T]}^{2}}\] Equating the exponents \[y=1\] \[x+y=0\] and\[-x-2y+z=0\] on solving \[x=-1,\,\,y=1\] and \[z=1\] So, \[M=[{{V}^{-1}}FT]\]
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