Two travelling waves produces a standing wave represented by equation, $\mathrm{y}=1.0 \mathrm{~mm} \cos \left(1.57 \mathrm{~cm}^{-1}\right) \times \sin \left(78.5 \mathrm{~s}^{-1}\right) \mathrm{t}$. The node closest to the origin in the region $\mathrm{x}>0$ will be at $\mathrm{x}=$ $\_\_\_\_$ cm .