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If the length of a wire is doubled while keeping the cross-sectional area consta
If the length of a wire is doubled while keeping the cross-sectional area constant, how does its Young's modulus change?
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If the length of a wire is doubled while keeping the cross-sectional area constant, how does its Young's modulus change?
It doubles
It halves
It remains the same
It quadruples
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Young's modulus is a material property and does not change with the dimensions of the wire.
Questions & Step-by-step Solutions
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Q
Q: If the length of a wire is doubled while keeping the cross-sectional area constant, how does its Young's modulus change?
Solution:
Young's modulus is a material property and does not change with the dimensions of the wire.
Steps: 4
Show Steps
Step 1: Understand what Young's modulus is. It is a measure of how much a material will stretch or compress under stress.
Step 2: Recognize that Young's modulus is a property of the material itself, not of its shape or size.
Step 3: Note that when the length of the wire is doubled, the material is still the same, and its properties do not change.
Step 4: Conclude that even though the wire's length changes, Young's modulus remains constant because it is intrinsic to the material.
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