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The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?A. length`=50cm`,`diameter`=0.5mm`B. length`=100cm`, diameter`=1mm`C. length`=200cm` diameter`=2mm`D. length`=300cm`, diameter`=3mm` |
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Answer» Correct Answer - A `triangle_1prop(100)/(1^2)prop100` `triangleL_2prop(100)/(2^2)prop50` `triangleL_3prop(300)/(3^2)prop(100)/(3)` `triangleL_3prop(50)/((1)/(4))prop200` `triangleLprop(L)/(A)` or `triangleLprop(L)/(D^2)` The ratio of `(L)/(D^2)` is maximum for case (a) Hence, option (a) is correct. |
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