Two waves travelling in a medium are given by $$y1=2sin(3$$$$π$$t−π$$2x)$$ and $$y2=4sin6$$$$π$$t−$$3$$$$π$$$$2x$$ , where $$y1$$, $$y2$$ and x are in cm and t in $$sec$$ the displacement of a particle at $$x=1$$ cm and $$t=1$$ $$sec$$ is

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Two waves travelling in a medium are given by $$y1=2sin(3$$$$π$$t−π$$2x)$$  and $$y2=4sin6$$$$π$$t−$$3$$$$π$$$$2x$$ ,  where $$y1$$, $$y2$$ and x  are in cm and t in $$sec$$ the displacement of a particle at $$x=1$$ cm and $$t=1$$ $$sec$$ is

Infinity Learn · Accepted Answer

For First Wave  $$y1=2sin3$$π×$$1$$−π$$/2$$×$$1$$ ⇒$$y1=2sin3$$π−π$$/2$$ ⇒$$y1=2sin5$$π$$/2=2sin2$$π$$+$$π$$/2$$          $$=2sin$$π$$/2=2$$ cm  For Second Wave $$y2=4sin6$$π×$$1$$−$$3$$π$$/2$$×$$1$$ $$=4sin9$$π$$/2=4sin4$$π$$+$$π$$/2$$ $$=4sin$$π$$/2=4$$ cm ∴according to superposition principle $$y=y1+y2=2+4=6$$ cm

Two waves travelling in a medium are given by $y_{1} = 2 \sin (3 π t - \frac{π}{2} x)$ and $y_{2} = 4 \sin (6 π t - \frac{3 π}{2} x)$ , where $y_{1}, y_{2}$ and $x$ are in cm and t in sec the displacement of a particle at $x = 1 c m$ and $t = 1 \sec$ is

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Two waves travelling in a medium are given by y1=2sin(3πt−π2x) and y2=4sin6πt−3π2x , where y1, y2 and x are in cm and t in sec the displacement of a particle at x=1 cm and t=1 sec is

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Two waves travelling in a medium are given by $y_{1} = 2 \sin (3 π t - \frac{π}{2} x)$ and $y_{2} = 4 \sin (6 π t - \frac{3 π}{2} x)$ , where $y_{1}, y_{2}$ and $x$ are in cm and t in sec the displacement of a particle at $x = 1 c m$ and $t = 1 \sec$ is