the energy of a particle E is given by the equation E = ax^2 -ab/t where t is a - Physics - Basic Mathematics

Question

the energy of a particle E is given by the equation E = ax^2 -ab/t
where t is a unit of time and x is the unit of length Find the unit
and dimension of a,b

Shobhit Mittal · Accepted Answer

E=ax2-ab/tfrom dimension rule LHS dimension must be equal to RHSax2 must have the dimension of EaL2=ML2T-2a=MT-2similiarly the dimension of ab/t must be of EabT=ML2T-2MT-2bT=ML2T-2b=L2TREgards

the energy of a particle E is given by the equation E = ax^2 -ab/t. where t is a unit of time and x is the unit of length . Find the unit and dimension of a,b