Question

E=mc2 find its dimension

Answer 1

E=Fs. {force ×distance}
=>Kgm/s ×m

=>*ML^2T^-2*
. . . . . . . . . . . . . . . . . . . . . EQN 1



mc^2=Kg(ms^-1)^2


=>Kg×m^2 ×s^-2


=>*ML^2T^-2*
. . . . . . . . . . . . . . . . . . . . EQN 2



EQN 1 & 2 are Equal




IN BOTH THE CASES ENERGY HAS THE SAME DIMENSIONAL FORMULA


THUS => THE DIMENSIONAL FORMULA OF ENERGY IS. . . . .
. . . . . . . . . . . . . . . ML^2T^-2