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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS
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Medium
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Application
+4 | -1
A kg mass is suspended from a wire of negligible mass. The length of the wire is and its cross-sectional area is If the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency . If the Young’s modulus of the material of the wire is , the value of is
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Correct option: A
4
Option A (4) is correct because the Young's modulus is calculated using the formula for the angular frequency of SHM in a wire, and solving for n.
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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.
