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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS
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Two steel wires have equal volumes, their diameters are in the ratio . When same force is applied on them, the elongation produced will be in the ratio of
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Correct option: C
Option C is correct because the elongation is inversely proportional to the fourth power of the radius when the volume and force are constant.
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Assertion: From the relation we can say that, if length of a wire is doubled, its Young's modulus of elasticity will also becomes two times.
Reason: Modulus of elasticity is a material property. A wire can be broken by applying a load of 200 N. The force required to break another wire of the same length and same material, but double in diameter, is Assertion(A): If radius of cylindrical wire is doubled, then this wire can bear four times stress.
Reason(R): By doubling the radius, area of cross-section will become four times.
Reason: Modulus of elasticity is a material property. A wire can be broken by applying a load of 200 N. The force required to break another wire of the same length and same material, but double in diameter, is Assertion(A): If radius of cylindrical wire is doubled, then this wire can bear four times stress.
Reason(R): By doubling the radius, area of cross-section will become four times.