Two mechanical waves, given by $$y_1=A\sin(8x-50t)$$ and $$y_2=A\sin\left(8x+50t+\frac{\pi}{3}\right)$$, travelling in opposite directions along the $$x$$ axis, superpose. The position of the node for $$x>0$$ nearest to the origin is, with the displacements in metre,

A

$$32.7\ \text{cm}$$

B

$$16.35\ \text{cm}$$

C

$$6.54\ \text{cm}$$

D

$$5.45\ \text{cm}$$