A vertical steel wire X of circular cross-section is used to suspend a load. A second wire Y, made of the same material but having twice the length and twice the diameter is used to suspend an equal load. What is the value of the ratio?
Correct answer: A. 1/1
- A. 1/1
- B. 1
- C. 2
- D. 4
Explanation
Since the wires at made of the same material, their young modulus will be the same hence they have the same length, force and area. So the ratio is going to be 1/1 = 1
This question appeared on the ETEA MDCAT 2013 paper, which you can sit online with every answer explained.
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About Young's Modulus and Stress-Strain
Stress and strain describe how a solid deforms under an applied force, while Young's modulus is the ratio of tensile stress to tensile strain within the elastic limit. The topic includes elastic and plastic behaviour, Hooke's law, the stress strain graph and the difference between stiffness, strength and breaking stress.
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