In an AC circuit, $I=100 \sin 200 \pi t$, the time required for the current to achieve its peak value is:

$\frac{1}{100} s$ $\frac{1}{200} s$ $\frac{1}{300} s$ $\frac{1}{400} s$

$\frac{1}{400} s$

The correct answer is Option (4) → $\frac{1}{400} s$