Rankers Physics

Solids: Practice Problem & Solution

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

Solution Explained:

To solve this problem, we apply the core principles of Solids. Understanding the underlying formula is key to arriving at the correct answer below:

When a spring is stretched, the wire itself undergoes torsion, which is governed by the shear modulus of the material, making the assertion true. Steel has a higher tensile strength and elasticity than copper, so the reason is false.

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. An object of mass m and density \(\rho\) is falling in a viscous liquid of density \(\frac{\rho}{4}\). When it attains terminal velocity, then viscous force acting on it will be:
2. A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with \(12\text{ cm}\) of water in one arm and \(15\text{ cm}\) of spirit in other. The specific gravity of spirit is
3. If the excess pressure inside a soap bubble is balanced by an oil column of height \(2\text{ mm}\), then the surface tension of soap solution will be : (\(r = 1\text{ cm}\) and density \(d = 0.8\text{ gm/cc}\))
4. The wettability of a surface by a liquid depends primarily on: (2013)
5. The load versus elongation graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line :