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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
 

Option: 1

Length 50 cm and diameter 0.5 mm


Option: 2

Length 100 cm and diameter 1 mm


Option: 3

Length 200 cm and diameter 2 mm

 


Option: 4

Length 300 cm and diameter 3 mm


Answers (1)

best_answer

Y= \frac{FL}{\pi r^{2}l}

l= \frac{FL}{\pi r^{2}Y}\; l\alpha \frac{L}{r^{2}}

\frac{L}{r^{2}} is greatest when L= 50 cm and r= \frac{0.5 \; mm}{2}

Posted by

Suraj Bhandari

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