A standing wave $y = A sin \left( {\frac{{20}}{3}\pi \,x} \right) cos (1000\pi t)$ is maintained in a taut string where y and $x$ are expressed in meters. The distance between the successive points oscillating with the amplitude $A/2$ across a node is equal to ... $cm$
A$2.5$
B$25$
C$5$
D$10$
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C$5$
c $y=A \sin \left(\frac{20}{3} \pi x\right) \cos (1000 \pi t)$
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