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NEET PHYSICSMedium

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.

A

Both (A) and (R) are True and (R) is the correct explanation of (A).

B

Both (A) and (R) are True but (R) is not the correct explanation of (A).

C

(A) is False but (R) is True.

D

(A) is True but (R) is False.

Step-by-Step Solution

  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 (200×109 N/m2200 \times 10^9 \text{ N/m}^2) is significantly higher than that of copper (110−120×109 N/m2110-120 \times 10^9 \text{ 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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