Question

Following graph shows the variation of load (\( W \)) versus elongation (\( l \)) for four wires of the same length and material represented by lines OP, OQ, OR, and OS. Which line represents the thickest wire?

• A. line OQ
• B. line OP
• C. line OR
• D. line OS

Hint:

In load-elongation graphs, the slope represents stiffness. A steeper slope corresponds to a thicker wire.

Answer 1

The Correct Option is B

Step 1: Understanding the relationship.
The load versus elongation graph reflects the stiffness of the material. A thicker wire would have a steeper slope because it can withstand a greater load for the same elongation. The thicker the wire, the higher the slope.
Step 2: Analyzing the options.
(A) line OQ: This line represents a less steep slope, indicating a thinner wire.
(B) line OP: This line has the steepest slope, indicating the thickest wire.
(C) line OR: This line represents a moderately steep slope, indicating a medium thickness.
(D) line OS: This line represents a slope less steep than OP but steeper than OQ.
Step 3: Conclusion.
Thus, the thickest wire is represented by line OP.