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If the velocity (V) , acceleration (A) ,...

If the velocity `(V)` , acceleration `(A)` , and force `(F)` are taken as fundamental quantities instead of mass `(M)` , length `(L) , and time (T)` , the dimensions of young's modulus `(Y)` would be

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`v=LT^(-1),F=MLT^(-2),a=LT^(-2)& Y=ML^(-1)T^(-2)rArrM=Fa^(-1),T=va^(-1),L=v^(2)a^(-1)`
`rArrY=ML^(-1)T^(-1)=(Fa^(-1))(v^(-2)a^(1))(v^(2)a^(2))=Fa^(2)v^(-4)`
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