The experimental strings are not ideally rigid, and have some elasticity: the stronger the pull, the bigger the elongation. What is the effect on the transverse wave velocity as compared to the transverse wave velocity in an ideal string?

In order to understand the effect of elasticity on the transverse wave velocity in a string, let's first understand the concept of transverse waves and ideal strings.

An ideal string is a hypothetical concept in which the string is assumed to be completely rigid and inextensible. In other words, an ideal string will not stretch or deform when a force is applied to it. This allows a transverse wave to travel through the string at a constant velocity.

On the other hand, in reality, most strings or materials do have some amount of elasticity. When a force is applied to an elastic string, it will undergo deformation or elongation. The amount of elongation depends on the magnitude of the force applied. In this case, the experimental string is not ideally rigid and exhibits elasticity.

So, when a transverse wave propagates through an elastic string, the wave's velocity is affected by the elasticity of the string. The stronger the pull or force applied to the string, the larger the elongation or deformation of the string, and therefore, the slower the velocity of the transverse wave.

To compare this with an ideal string, in which the wave velocity remains constant, we can conclude that the transverse wave velocity in an elastic string is slower than the transverse wave velocity in an ideal string. This is because the elasticity of the string causes a decrease in wave velocity as the force or pull increases.

To determine the specific effect on the transverse wave velocity in an experimental string, you will need to gather data on the force applied and the resulting elongation and calculate the velocity using relevant formulas. These formulas typically involve the tension in the string, the linear mass density, and the Young's modulus of the material.