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![[Post New]](/templates/default/images/icon_minipost_new.gif) 6 Feb 2008 20:07:05 IST
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can somebody please derive the expression of standing wave with proper explainations
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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity
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6 Feb 2008 20:13:41 IST
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y1=Asin(wt-kx)
y2=Asin(wt+kx) [travelling in opp. direction]
using principle of superposition--
y=y1+y2
=A[sin(wt-kx)+sin(wt+kx)]
=2Asin(wt)cos(kx)
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6 Feb 2008 20:16:16 IST
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rigid support creates a phase diffrence of pie is'nt it,so the reflected wave should not be in phase,but u took it to be in phase,plz explain
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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity
Purpose of solving a problem is not simply to get the answer(the answer is only an evidence) but to develop your thinking ability |
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6 Feb 2008 20:35:09 IST
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well i have not taken them in phase. there is phase difference- wt-kx-(wt+kx)=-2kx.
talking of phase difference of pie it doesnot need be taken here as we are considering two different waves of same frequency travelling in opposite direction and not one wave which forms a standing wave after reflection from a rigid support.
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6 Feb 2008 20:37:45 IST
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r u saying that the two waves are diffrent??
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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity
Purpose of solving a problem is not simply to get the answer(the answer is only an evidence) but to develop your thinking ability |
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yes
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6 Feb 2008 20:40:44 IST
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have a look at
http://www.goiit.com/posts/list/games-puzzles-and-quizzes-cool-facts-gain-some-knowledge-41865.htm
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6 Feb 2008 20:43:24 IST
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are you now clear about the derivation?
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6 Feb 2008 20:45:09 IST
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actually my concept of phase difference is not so clear,plz can u explain
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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity
Purpose of solving a problem is not simply to get the answer(the answer is only an evidence) but to develop your thinking ability |
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6 Feb 2008 20:49:20 IST
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well taking any wave-y=asin(wt-kx)
its phase is wt-kx
if we take another wave y=asin(wt-kx+phi)
its phase is wt-kx+phi
therefore phase diff=wt-kx+phi-(wt-kx)=phi
Hoping that its helpful!
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