Can a wave transverse in a perfectly elastic string?

A transverse wave travels along an ideal string(perfectly elastic string). Here the oscillation is in a transverse direction and the component of acceleration parallel to the x-axis is zero. Hence the component of the net force parallel to the x-axis also zeros.

Considering a small part of the string that make q₁ and q₂ w.r.t x axis and T₁ and T₂ the tensions at the end then

T₁cosq₁ – T₂cosq₂= 0 and the wave eqn for the string

Hope you are now clear now.

Regards,

Vasantha,

AskIITian Expert, MSc, B.Ed(St. Marys College, Chennai)

But ncert says that the material which stretches more is more elastic....which means that a perfectly elastic string won`t stress at all

Stretch*