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Consider the following statements: 
When a metal or alloy is cold worked
1. it is worked below room temperature.
2. it is worked below recrystallisation temperature.
3. its hardness and strength increase.
4. its hardness increases but strength does not increase. 
Q.
Of these correct statements are
  • a)
    1 and 4
  • b)
    1 and 3
  • c)
    2 and 4
  • d)
    2 and 3 
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements:When a metal or alloy is cold worked...
When a metal or alloy is cold worked, several changes occur in its structure and properties. Let's analyze each statement to understand the correct options:

1. It is worked below room temperature.
- This statement is true. Cold working refers to the deformation or shaping of a metal or alloy at temperatures below its recrystallization temperature, which is typically below room temperature.

2. It is worked below recrystallization temperature.
- This statement is true. Cold working is performed below the recrystallization temperature of the metal or alloy. Recrystallization temperature is the temperature at which the deformed grains of the metal or alloy are replaced by new grains, reducing the internal stresses and increasing ductility.

3. Its hardness and strength increase.
- This statement is true. Cold working causes an increase in the hardness and strength of the metal or alloy. When a metal is cold worked, the dislocations within the crystal structure increase, leading to a higher density of dislocations. This increased dislocation density restricts the motion of other dislocations, preventing their easy movement and leading to an increase in hardness and strength.

4. Its hardness increases, but strength does not increase.
- This statement is false. Cold working not only increases the hardness but also the strength of the metal or alloy. The increased dislocation density, as mentioned earlier, hinders the motion of dislocations and strengthens the material. The strength of a material is directly related to its ability to resist deformation or fracture, and the increase in dislocation density achieved during cold working enhances this ability, thereby increasing the strength.

From the above analysis, we can conclude that statements 2 and 3 are correct. Therefore, the correct option is D: 2 and 3.
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