The stationary waves set up on a string has the equation: \[ y=(2 \mathrm{~mm}) \sin \left[\left...

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The stationary waves set up on a string has the equation:
\[
y=(2 \mathrm{~mm}) \sin \left[\left(6.28 \mathrm{~m}^{-1}\right) x\right] \cos \omega t
\]
The stationary wave is created by two identical waves, of amplitude \( A \) each, moving in opposite directions along the string. Then:
(1) \( A=2 \mathrm{~mm} \)
(2) \( A=1 \mathrm{~mm} \)
(3) the smallest length of the string is \( 50 \mathrm{~cm} \)
(4) the smallest length of the string is \( 2 \mathrm{~m} \)
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