question_answer 54)

                  A function \[f(\theta )\] is defined as:                 \[=f(\theta )1-\theta +\frac{{{\theta }^{2}}}{2!}-\frac{{{\theta }^{3}}}{3!}+\frac{{{\theta }^{4}}}{4!}L\]                 Why is it necessary for q to be a dimensionless quantity?                

Answer:

                  \[=f(\theta )=1-\theta +\frac{{{\theta }^{2}}}{2!}-\frac{{{\theta }^{3}}}{3!}+\frac{{{\theta }^{4}}}{4!}....\]                 Like quantities are added or subtracted from each other. On left hand side 1 is dimensionless, therefore, therefore, q must be dimensionless.