The effect of temperature on the value of Young's modulus of elasticity varies depending on the substance or material in question. Therefore, there is no one-size-fits-all answer, and the correct option would depend on the specific material.
A. It increases with an increase in temperature: This can be true for some materials, especially metals, where the Young's modulus may increase as temperature rises due to thermal expansion effects.
B. It remains constant: This is true for some materials, particularly isotropic materials like some polymers and glasses, where Young's modulus remains relatively constant over a certain temperature range.
C. It decreases with a rise in temperature: This is true for some materials, like most elastomers and rubber, where Young's modulus decreases as temperature increases due to increased molecular motion.
D. It sometimes increases and sometimes decreases with temperature: This is also possible, as the behavior of Young's modulus can vary depending on the specific material and temperature range.
In summary, the effect of temperature on Young's modulus of elasticity is material-dependent, so the correct answer would depend on the specific substance being considered.