The temperature of a wire is doubled. The Young's modulus of elasticity

Young's modulus of elasticity $Y$ is a material property that depends primarily on the nature of the material and the temperature. When the temperature of a solid increases, the interatomic distances increase due to thermal expansion, which weakens the interatomic forces.

As the temperature increases, the atomic vibrations increase, leading to a decrease in the stiffness of the material. Consequently, the Young's modulus of elasticity decreases with an increase in temperature.

Therefore, when the temperature of a wire is doubled, its Young's modulus of elasticity will decrease.

Answer: Will decrease