In string theory, the fundamental length scale is typically believed to be around the Planck length, which is approximately 1.616 × 10^(-35) meters. The yoctometer is a unit of length equal to 10^(-24) meters.
To determine the number of yoctometers in a string of string theory, we need to calculate the ratio between the Planck length and the yoctometer:
1.616 × 10^(-35) meters / (10^(-24) meters/yoctometer)
Simplifying the expression, we find:
1.616 × 10^(-35 - (-24)) = 1.616 × 10^(-11) yoctometers
Therefore, there are approximately 1.616 × 10^(-11) yoctometers in a string of string theory, assuming the fundamental length scale is on the order of the Planck length. It's important to note that the actual length scale and properties of strings in string theory are still subjects of ongoing research and are not yet definitively established.