Question

The period of the function $f\left(x\right)=\sin |100x|$ is

• A. $\frac{\pi }{50}$
• B. $\frac{\pi }{100}$
• C. $\frac{\pi }{25}$
• D. Not defined

Answer 1

The correct option is D Not defined

$f\left(x\right)=\sin |100x|$
$f\left(x\right)=\{\begin{array}{cc}\sin \left(100x\right),& x\ge 0\\ -\sin \left(100x\right),& x<0\end{array}$


Hence, $f\left(x\right)$ is not periodic function.