Final answer:
If the length and radius of the wire in the Young's experiment are doubled, the value of Young's modulus remains the same.
Young's modulus of a material is a fundamental property that remains constant regardless of changes to the specimen's dimensions, such as length or radius
Step-by-step explanation:
In the Young's experiment, if the length of the wire and the radius are both doubled, the value of Young's modulus will remain the same.
You can calculate the Young's modulus using the formula Y = (F * L0) / (A * deltaL), where Y is the Young's modulus, F is the force applied, L0 is the original length of the wire, A is the cross-sectional area of the wire, and deltaL is the change in length. Since only the length and radius of the wire are doubled, the cross-sectional area remains the same, resulting in no change in the value of Young's modulus.
For example, if the original value of Young's modulus was 20 GPa, it will still be 20 GPa after doubling the length and radius of the wire.