Modulus of resilience is a mechanical property that measures the ability of a material to absorb and store energy elastically when it is deformed. It is defined as the maximum energy per unit volume that can be absorbed without permanent deformation of the material.

To calculate the modulus of resilience, we need to know the tensile strength (TS) and the yield strength (YS) of the material. The formula for modulus of resilience is:

Resilience = (YS^2) / (2 * E)

where E is the Young's modulus of the material.

In the given question, the modulus of resilience for the material is stated to be 350 kPa. Let's analyze the options to find the correct answer.

a) 350 kPa - This is the given answer and it satisfies the condition.

b) 425 MPa - The answer is given in megapascals (MPa), while the modulus of resilience is usually expressed in kilopascals (kPa). Therefore, this option is incorrect.

c) 350 MPa - Similar to option b, this answer is given in megapascals (MPa) instead of kilopascals (kPa). Hence, this option is also incorrect.

d) 425 kPa - The answer is given in kilopascals (kPa), but it is different from the given modulus of resilience value. Thus, this option is incorrect.

Therefore, the correct answer is option 'a' which states that the modulus of resilience for the material is 350 kPa.

In conclusion, the modulus of resilience is a measure of a material's ability to absorb elastic energy without permanent deformation. In the given question, the correct answer is option 'a' as it provides the modulus of resilience value of 350 kPa, which matches the given information.