Let us consider an equation (1)/(2)mv^(2)=mgh Where m is the mass of the body. V its velocity , g is the acceleration due to gravity and h is the height . Check whether this equation is dimensionally correct.

Let us consider an equation (1)/(2)mv^(2)=mgh Where m is the mass of

1.	Let us consider an equation (1)/(2)mv^(2)=mgh Where m is the mass of the body. V its velocity , g is the acceleration due to gravity and h is the height . Check whether this equation is dimensionally correct.
Answer» Solution :The DIMENSIONS of LHS are `[M] [L T^(-1)]^(2) = [M] [L^(2)T^(-2)]` `=[M L^(2) T^(-2)]` The dimensions of RHS are `[M][L T^(-2)] [L] = [M][L^(2) T^(-2)]` `=[M L^(2) T^(-2)]` The dimensions of LHS and RHS are the same and HENCE the equation is DIMENSIONALLY CORRECT.