Question

If the sum of kinetic energy and potential energy equals
some constant 'a'. What is the dimensional formula
for 'a'?​

Answer 1

Answer:

MLT-2 is dimensional formula of a

Answer 2

Answer:

• We have been given a situation in which kinetic energy and potential energy is given by a constant “a”.
• Now we know the product of mass and velocity squared gives us kinetic energy.
• So the dimensional formula for kinetic energy is given by $M^1L^2T^{-2}.$
• We also know that potential energy is the product of mass and acceleration and height or altitude and the dimensional formula for potential energy is given by $M^1L^2T^{-2}.$
• The sum of these two energies will also be a kind of energy.
• Hence the dimensional formula for constant "a" would also be $M^1L^2T^{-2}.$