if both the length and radius of the rod are doubled, then modulus of elasticity will:
Correct answer: C. Remains the same
- A. inerease
- B. Deerease
- C. Remains the same
- D. Be doubled
Explanation
When the length ( L ) and radius ( r ) of a rod are doubled, the new length and radius are ( 2L ) and ( 2r ) respectively. The modulus of elasticity ( E ) is defined as the ratio of stress to strain, and is given by: E= Stress/StrainBy solving it, we find that modulus of elasticity become half.But it is an intrinsic property of a material, meaning it does not change with the dimensions of the material. Therefore, if both the length and radius of the rod are doubled, the modulus of elasticity will remain unchanged.
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