Which of the following gives the percent change to the Young's modulus for a substance, when its cross-sectional area is increased by a factor of 3?
Show Hint
- 0%
- 33%
- 300%
- 900%
The Correct Option is A
Solution and Explanation
Young's modulus $Y$ is given by: \[ Y = \frac{\text{Stress}}{\text{Strain}} = \frac{F/A}{\Delta L/L} \] where: $A$ is the cross-sectional area, and $F$ is the force. Since the stress is the force divided by area, an increase in area does not affect the Young's modulus, meaning there is no change to the Young's modulus. Hence, the change is $0%$.
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