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The equation of a standing wave, produce...

The equation of a standing wave, produced on a string fixed at both ends, is ` y = (0.4 cm) sin[(0.314 cm^-1) x] cos[(600pis^-1)t]` What could be the smallest length of the string ?

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The correct Answer is:
A, C
The equation of the standing wave is given by,
`y=(.4cm)sin[(0.314cm^-1)x]cos[(600pis^-1t)t]`
`rarr k=0.314=pi/10`
`rarr L=20cm`
For smallest length of the string as wavelength remains constant the string should vibrate in fundamental frequency.
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