energy of a particle is 5J. if unit of length and time are double and unit of mass is halved then numerical value of energy in this new system will be 5n. Value of n is

Original unit of energy, E=[ML2T-2]Now according to question,L'=2L, T'=2T and M'=M2Then,E'=[M2(2L)2(2T)-2]=[ML2T-22]=12EThus, 12×5=2.5 J=5nSo, n=0.5

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