A) A wave travelling along + x direction
B) A wave travelling along - x direction
C) A standing wave having nodes at \[x=\frac{n\lambda }{2},n=0,1,2\]?..
D) A standing wave having nodes at\[x=\left( n+\frac{1}{2} \right)\frac{\lambda }{2};n=0,1,2\]??
Correct Answer: D
Solution :
\[Y=A\sin (\omega t-kx)+Asin(\omega t+kx)\] \[Y=2A\sin \omega t\cos kx\]standing wave For nodes \[\cos kx=0\] \[\frac{2\pi }{\lambda }.x=(2n+1)\frac{\pi }{2}\] \[\therefore \] \[x=\frac{(2n+1)\lambda }{4},n=0,1,2,3,\]???..You need to login to perform this action.
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