Find the dimensions of mass in terms of Energy, length and time.

1.	Find the dimensions of mass in terms of Energy, length and time.
Answer» Solution :Let the dimensions of ENERGY, Length and TIME be [E],[L],[T] RESPECTIVELY. We know that FORCE = mass `xx` acceleration Mass = `("Force")/("acceleration") = ("Work done (or) Energy")/("acceleration" xx "displacement")` `[m] = ("Energy")/(["acceleration"]["displacement"]) = ([E])/([LT^(-2)][L]) = ([E])/([L^(2)T^(-2)]) = [EL^(-2)T^(2)]`

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