Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.

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Q.
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: [2022]

1 Both (A) and (R) are true and (R) is the correct explanation of (A)

2 Both (A) and (R) are true and (R) is not the correct explanation of (A)

3 (A) is true but (R) is false

4 (A) is false but (R) is true

Ans.
(3)

The stretching of a coiled spring is determined by its shear modulus because neither its length nor its volume changes but only the shape of the spring is changed. Elasticity of steel is more than copper.

Solution

1 Both (A) and (R) are true and (R) is the correct explanation of (A)

2 Both (A) and (R) are true and (R) is not the correct explanation of (A)

3 (A) is true but (R) is false

4 (A) is false but (R) is true

Ans.
(3)

The stretching of a coiled spring is determined by its shear modulus because neither its length nor its volume changes but only the shape of the spring is changed. Elasticity of steel is more than copper.

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Solution

1 Both (A) and (R) are true and (R) is the correct explanation of (A)

2 Both (A) and (R) are true and (R) is not the correct explanation of (A)

3 (A) is true but (R) is false

4 (A) is false but (R) is true

Ans. (3) The stretching of a coiled spring is determined by its shear modulus because neither its length nor its volume changes but only the shape of the spring is changed. Elasticity of steel is more than copper.

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Ans.
(3)

The stretching of a coiled spring is determined by its shear modulus because neither its length nor its volume changes but only the shape of the spring is changed. Elasticity of steel is more than copper.