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Modulus of toughness is the area of the stress-strain diagram up to:
1. Rupture Point
2. Yield Point
3. Limit of Proportionality
4. Ultimate Point

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Correct Answer - Option 1 : Rupture Point

Explanation

Modulus of toughness: It is the total strain energy per unit volume which can be stored in metal without fracture. It is equal to the total area under the stress-strain curve up to fracture point.

Proof resilience: It represents elastic strain energy per unit volume of metal. It is defined for those ductile metals which don't show clear yield point.

Tenacity: It refers to the ultimate tensile strength of the metal. A metal having high tenacity means it has high ultimate tensile strength.

Modulus of resilience: It is the elastic strain energy per unit volume, It is equal to the area under Stress-strain curve within an elastic limit.

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