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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Waves
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reddevil_2009 (2160)

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Q1 Is it possible to have a standing wave if the amplitude of two component waves are not equal???????

Q2 In a standing wave,is the energy density ZERO at nodes???

Q3 Is there any relationship between wave speed and maximum particle speed????

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akhil_o (2709)

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3) no i think they r independent..

y=Asin(kx-wt)

particle velocity maximum=Aw
wave velocity=wavelength*w/2 pi

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reddevil_2009 (2160)

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what do you mean by "you think"???????????
plzzzzzzzzzz give correct answer &&&&&&& others plzzzzzzz helpp


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sahilgupta_iit (610)

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Q.3. yes there is a relation between wave velocity and particle velocity:
 dy/dt= -v*dy/dx
where dy/dx is the slope at the particle, v is the wave velocity, dy/dt is the particle velocity.
dy/dx represents the partial differentiation of y w.r.t. x keeping t constant, and same is for dy/dt (w.r.t. t keeping x constant)

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prateekphy (0)

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YES THINK ABT THE STANDING WAVES HAVING FREE END
YOU HAVE REFLECTED WAVES HAVING AMPLITUDE 2X
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prateekphy (0)

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Re:Waves
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sahilgupta_iit (610)

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Q.2. in the satnding wave there is no transmission of energy. Hence the energy between two consecutive nodes will be constant. THE ENERGY DENSITY AT NODES IS ZERO
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sahilgupta_iit (610)

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Q.1. Actually a standing wave is produced by the superposition of the original wave and its reflection. Hence their amplitude is same.
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