The ratio of lengths of two rods A and B of same material is 1 : 2 and the ratio of their radii is 2 : 1, then the ratio of modulus of rigidity of A and B will be
Correct answer: D. 1 : 1
- A. 4 : 1
- B. 16 : 1
- C. 8 : 1
- D. 1 : 1
Explanation
The modulus of rigidity, also known as shear modulus, is a property that only depends on the material composition, not on its dimensions, such as length or radius. Since rods A and B are made of the same material, their modulus of rigidity will be the same; hence, the ratio is 1:1. Other options suggest a dependence on dimensions, which is incorrect for modulus of rigidity.
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About Physics of Solids
Solids are compared through crystal structure, amorphous arrangement, elasticity, plastic deformation, stress, strain and Young’s modulus. Electrical behavior depends on available charge carriers and band structure, so conductors, insulators and semiconductors must be distinguished from mechanical properties such as strength, stiffness and brittleness.
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