Question

The breaking stress of a wire depends upon the:

• A. Length of the wire
• B. Radius of the wire
• C. Material of the wire
• D. Shape of the cross-section

Answer 1

The correct option is C

Material of the wire

Explanation for the correct option:

Option C:

1. The breaking stress of a material is given by $Stress=E\times Strain$
2. $E$ is the young's modulus, and it depends on the material of the wire.
3. Strain is the deformation of the wire.
4. Hence, the breaking stress depends on the material of the wire.

Explanation for the incorrect options:

Option A:

1. The breaking stress of the wire depends on the strain and its young modulus.
2. And those quantities do not depend on the length of the wire.
3. Therefore, this option is not the correct option.

Option B:

1. The breaking stress of the wire depends on the strain and its young modulus.
2. And those quantities do not depend on the radius of the wire.
3. Therefore, this option is not the correct option.

Option D:

1. The breaking stress of the wire depends on the strain and its young modulus.
2. And those quantities do not depend on the area of the cross-section of the wire.
3. Therefore, this option is not the correct option.

Therefore, option C is the correct option.