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Which of the following statements are true for a stationary wave ?A. Every paticle has a fixed amplitude which is different from the amplitude of its nearest particleB. All the particles cross their mean position at the same timeC. There are some particles which are alwayss at restD. There is not transfer of energy across any plane |
Answer» Correct Answer - A::B::D Consider the equation of a stationary wave ` y= a sin (kx) cos omegat` (a) clearly every paticle at x will have amplitude = a sin k x = fixed (b) for mean position y=0 `rArr " " cos omegat=0` `rArr " " omegat =(2n-1)(pi)/(2)` Hence for a fixed value of n, all partice are having same value of time `t=(2n-1)(pi)/(2omega)" "[because omega=` constant] (c) amplitude of all the particles are a sin (kx) which isi different particles at different values of x (d) the energy is a stationary wave is confined between two nodes (e) particles at different nodes are always at rest. |
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