Fig. shows a wire of length l and of slightly non-uniform cross-section. Its radius at one end is R1 and at the other, it is R2The wire is stretched by forces F and F applied along the length in opposite directions and normal to the ends. Y being the Young's rpodulus, extension caused in the wire is nearly:.
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a
FlπYR1R2
b
FlYR1R2
c
FlYπR12R22
d
FYlπR1R2
answer is A.
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Detailed Solution
Effective area of the wire = π R1R2so extension in the wire =e=FlY πR1R2