
${y}_{1}={A}_{1} \sin {k}({x}-v {t}), {y}_{2}={A}_{2} \sin {k}\left({x}-{vt}+{x}_{0}\right) .$ Given amplitudes ${A}_{1}=12\, {mm}$ and ${A}_{2}=5\, {mm}$ ${x}_{0}=3.5\, {cm}$ and wave number ${k}=6.28\, {cm}^{-1}$. The amplitude of resulting wave will be $......\,{mm}$
${y_1} = 10\,\sin \,200\pi t$,
${y_2} = 20\,\sin \,\left( {2000\pi t + \frac{\pi }{2}} \right)$
are superimposed at any point at a particular instant. The amplitude of the resultant wave is
