Change in Young Modulus on Doubling Radius and Length
The Young's modulus of steel wire of radius and length is .
If the radius and length of the wire are doubled then the value of
Options
A
increases by two times
B
reduces by half
CCorrect
remains unchanged
D
becomes one fourth
Topics & Concepts
Step-by-Step Solution
Young's modulus () is an intrinsic property of a material, which depends solely on the nature of the material and temperature. It is independent of the geometrical dimensions of the body, such as its length (), radius (), or cross-sectional area ().
Since the material of the wire remains steel, doubling its radius and length does not affect its elastic properties.
Therefore, the value of Young's modulus remains unchanged.
Correct Option: C