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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS
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If the area of cross-section is halved and length of wire having young's modulus is doubled, then its young's modulus will become
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Correct option: A
Young's modulus is a material property and is independent of the dimensions of the wire. Therefore, it remains Y.
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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.