Principle of homogeneity of dimensios is the consistency test for any equation. If an equation fails this test, it is proved wrong. But if the equation passes thisconsistency test, it is not neacessarliy proved right. Why ?

Principle of homogeneity of dimensios is the consistency test for any

1.	Principle of homogeneity of dimensios is the consistency test for any equation. If an equation fails this test, it is proved wrong. But if the equation passes thisconsistency test, it is not neacessarliy proved right. Why ?
Answer» Solution :The CONSISTENCY test for any equation is the principle of homogenetiy of dimensions, i.e., and equation is correct, when dimensions // powers of M, L, T on one side of the equation are equal to their respective values//powers on the other side of the equation. When power of even one of M, L, T fails to match, the equation in worng. However if an equation passes this consistancy test, it may still not be RIGHT. This is because mere dimensional CORRECTNESS of an equation does not ensure its physical correctness. For example, work = torque is DIMENSIONALLY correct, but not physically correct. Work is a scalar which is equivalent to energy. Torque is a vector, which REPRESENTS turning effect of a force.