AP EAMCET · PHYSICS · Mechanical Properties of Solids
When a wire of length 'L' clamped at one end is pulled by a force 'F' from the other end, its length increases by 'L'. If the radius of the wire and the applied force were halved, then the increase in its length is
- A 3L
- B 4L
- C 1.5L
- D 2L
Answer & Solution
Correct Answer
(D) 2L
Step-by-step Solution
Detailed explanation
\( \Delta L = \frac{FL}{AY} \) Initial: \( L = \frac{F L}{\pi r^2 Y} \) New: \( \Delta L' = \frac{(F/2)L}{\pi (r/2)^2 Y} = \frac{FL/2}{\pi r^2/4 Y} = \frac{2FL}{\pi r^2 Y} \) \( \Delta L' = 2 \left( \frac{FL}{\pi r^2 Y} \right) = 2L \)
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