Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A wire stretches by under a load. What is the stretch if
Each change is made on its own.
Young's modulus: . A wire stretches and acts as a spring with . A wire breaks when its stress reaches the breaking stress, whatever its length.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) : .
Step 2. (b) : .
Step 3. (c) : .
Step 4. (d) : .
Answer: (a) . (b) . (c) . (d) .
Watch out. Doubling the radius quarters the stretch; it does not halve it.
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