Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).…

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).

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 same dimensions.

In the light of the above statements, choose the most appropriate answer from the options given below :

  1. Both (A) and (R) are true and (R) is not the correct explanation of (A)
  2. (A) is true but (R) is false
  3. (A) is false but (R) is true
  4. Both (A) and (R) are true and (R) is the correct explanation of (A)

Solution

When a coil spring is stretched, neither its length nor its volume changes, there is only the change in its shape. Therefore, stretching of coil spring is determined by shear modulus of the material of spring.

Steel is stronger than copper. Hence, the tensile strength of steel spring is more than copper spring of same dimensions.

Hence, (A) is true but (R) is false.

Asked in: NEET 2022 (Phase 1)

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