Question
Download Solution PDFThe stress-strain curve of three materials A, B, and C are given. Which of the following material will have maximum Modulus of Elasticity?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- If a solid is under force, there will be an increase or decrease in size or shape due to the developed stress and strain in it.
- Stress is calculated by Force (F) divided by the cross-section area (A) on which it is applied.
Stress = F/A
- The strain is the change in the size of the solid divided by the original size of the solid.
- Hook's Law of elasticity: Hook's law of elasticity said if strain produced in the solid due to stress is small, then stress is proportional to strain produced. i.e.
\(stress \propto strain\)
When we remove the proportional sign.
\(stress =E× strain\)
\(E = {stress \over strain}\)
Here E is the modulus of elasticity.
EXPLANATION:
For a material Modulus of elasticity is calculated by:
\(stress =E× strain\)
\(E = {stress \over strain}\)
It is the same as the graph of y = m x
\(stress =E× strain\)
- So for the stress-strain graph, E (modulus of elasticity) will show the slope of the graph.
- For the given question graph, the maximum value of slope will give the maximum modulus of elasticity.
- For the given question A has more slope than B and C.
- Therefore modulus of elasticity will be maximum for material A.
- Hence the correct answer is option 1.
Last updated on Jul 11, 2025
->Indian Airforce Agniveer (02/2026) Online Form Link has been activated at the official portal. Interested candidates can apply between 11th July to 31st July 2025.
->The Examination will be held 25th September 2025 onwards.
-> Earlier, Indian Airforce Agniveer Group X 2025 Last date had been extended.
-> Candidates applied online from 7th to 2nd February 2025.
-> The online examination was conducted from 22nd March 2025 onwards.
-> The selection of the candidates will depend on three stages which are Phase 1 (Online Written Test), Phase 2 ( DV, Physical Fitness Test, Adaptability Test), and Phase 3 (Medical Examination).
-> The candidates who will qualify all the stages of selection process will be selected for the Air Force Group X posts & will receive a salary ranging of Rs. 30,000.
-> This is one of the most sought jobs. Candidates can also check the Airforce Group X Eligibility here.