check whether the equation mv2=mgh is dimensionally consistent.based on the above equation, justify the following statement ."a dimensionally correct equation need not be actually an exact equation
Answers
Answered by
34
The equation mv²= mgh is dimensionally consistent.
The dimension of mv² = [M L² T²]
As the unit for velocity is m/s and the unit for mass is kilogram.
The dimension for mgh is [M L² T²]
As the unit for mass is kilogram, for g i.e. acceleration due to gravity is m/s² and for h is metre.
Therefore the equations is dimensionally consistent, but it is not necessary that the equation is the exact one.
As we know that the right equation is 1/2mv² = mgh, by the law of conservation of energy.
Therefore a dimensionally correct equation need not be actually an exact equation.
Similar questions