Given below are two statements:
Assertion (A): The stretching of a spring is determined by the shear modulus o

Question

Given below are two statements:
Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.
Reason (R): A coil spring of copper has more tensile strength than a steel spring of the same dimensions.

Accepted Answer

1. **Assertion Analysis:** When a coil spring is stretched, the wire it is made of undergoes twisting (torsion). The primary deformation involved is shear strain. Therefore, the restoring force and the extension depend on the **Shear Modulus** (Modulus of Rigidity) of the material. Hence, Assertion (A) is **True**.
2. **Reason Analysis:** Steel is an alloy known for its high strength and elasticity compared to copper. The tensile strength (and Young's modulus) of steel ($200 	imes 10^9 	ext{ N/m}^2$) is significantly higher than that of copper ($110-120 	imes 10^9 	ext{ N/m}^2$). Therefore, a copper spring has *less* tensile strength than a steel spring of the same dimensions. Hence, Reason (R) is **False**.

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