Following statements are given for a stationary wave

$(a)$ Every particle has a fixed amplitude which is different from the amplitude of its nearest particle.

$(b)$ All the particles cross their mean position at the same time.

$(c)$ All the particles are oscillating with same amplitude.

$(d)$ There is no net transfer of energy across any plane.

$(e)$ There are some particles which are always at rest.

Which of the following is correct

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$(a)$ True
$(b)$ String become straight
$(c)$ amplitude depends on position.
$(d)$ Nor for every plane but for node plane only
$(e)$ Nodes
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