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The breaking stress of a wire depends on...

The breaking stress of a wire depends on

A

 length of the wire

B

radius of the wire

C

material of the wire

D

shape of the cross-section

Text Solution

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The correct Answer is:
To determine what the breaking stress of a wire depends on, we need to analyze the factors that influence it. Breaking stress is defined as the stress at which a material fails or breaks. Here’s a step-by-step breakdown of the solution: ### Step 1: Understand Breaking Stress Breaking stress is the maximum stress that a material can withstand before failure. It is a critical property of materials used in construction and manufacturing. ### Step 2: Identify the Factors The question provides four options: 1. Length of the wire 2. Radius of the wire 3. Material of the wire 4. Shape of the cross-section of the wire ### Step 3: Analyze Each Factor - **Length of the Wire**: Breaking stress does not depend on the length of the wire. This is because stress is defined as force per unit area, and the length does not affect this ratio. - **Radius of the Wire**: Breaking stress is independent of the radius. While the cross-sectional area changes with radius, the stress is still a ratio of force to area, making it unaffected by the radius itself. - **Material of the Wire**: This is a crucial factor. Different materials have different breaking stresses due to their intrinsic properties (like ductility, brittleness, and atomic structure). For example, steel has a different breaking stress compared to aluminum. - **Shape of the Cross-Section**: The shape of the cross-section does not affect the breaking stress. Similar to radius, while the shape can influence the distribution of stress, it does not change the fundamental breaking stress of the material. ### Step 4: Conclusion From the analysis, we conclude that the breaking stress of a wire primarily depends on the **material of the wire**. The other factors (length, radius, and shape of the cross-section) do not influence the breaking stress. ### Final Answer The breaking stress of a wire depends on the **material of the wire**. ---
To determine what the breaking stress of a wire depends on, we need to analyze the factors that influence it. Breaking stress is defined as the stress at which a material fails or breaks. Here’s a step-by-step breakdown of the solution: ### Step 1: Understand Breaking Stress Breaking stress is the maximum stress that a material can withstand before failure. It is a critical property of materials used in construction and manufacturing. ### Step 2: Identify the Factors The question provides four options: 1. Length of the wire ...
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