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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