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Did you know?
One mole contains 6.022 × 10²³ particles — if a mole of seconds passed, it'd be 19 quadrillion years.
Did you know?
One mole contains 6.022 × 10²³ particles — if a mole of seconds passed, it'd be 19 quadrillion years.
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.Choose the most appropriate answer:
Both Statement (A) and Statement (R) are true and (R) is the correct explanation of (A)
Both Statement (A) and Statement (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is false
(A) is false but (R) is true
To solve this problem, we need to evaluate the truth of the assertion (A) and reason (R) separately.Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.• The stretching of a spring is actually determined by the Young's modulus, not the shear modulus.• Young's modulus is a measure of the stiffness of a solid material, which is relevant for tensile (stretching) deformation.• Therefore, the assertion (A) is false.Reason (R): A coil spring of copper has more tensile strength than a steel spring of the same dimensions.• Tensile strength refers to the maximum stress that a material can withstand while being stretched or pulled before breaking.• Steel generally has a higher tensile strength compared to copper.• Therefore, the reason (R) is false.Conclusion:• Since (A) is false and (R) is false, the correct answer is Option 3: (A) is true but (R) is false.Thus, the correct option is 3.
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